Answer:
Step-by-step explanation:
Least common multiple can be found by multiplying the highest exponent prime factors of 36 and 48. First we will calculate the prime factors of 36 and 48.
Prime Factorization of 36
Prime factors of 36 are 2, 3. Prime factorization of 36 in exponential form is:
36 = 22 × 32
Prime Factorization of 48
Prime factors of 48 are 2, 3. Prime factorization of 48 in exponential form is:
48 = 24 × 31
Now multiplying the highest exponent prime factors to calculate the LCM of 36 and 48.
LCM(36,48) = 24 × 32
LCM(36,48) = 144
List of positive integer factors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18
Factors of 48
List of positive integer factors of 48 that divides 36 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24
Greatest Common Factor Number
We found the factors and prime factorization of 36 and 48. The biggest common factor number is the GCF number.
So the greatest common factor 36 and 48 is 12.
