Question

What is the least common multiple for 88 and 117

Answer 1

The least common multiple of 88 and 117 is 10,296.

Least common multiple is the smallest positive number that is a multiple of two or more numbers.

In this case, the least common multiple is the smallest positive number that is a multiple of 88 and 117.

88 x 117 = 10,296

There is also a proper way of finding the lcm of big numbers.
1) perform prime factorization

88 ÷ 2   = 44
44 ÷ 2   = 22
22 ÷ 2   = 11
11 ÷ 11 = 1    ⇒ 2³ * 11

117 ÷ 3 = 39
  39 ÷ 3 = 13
  13 ÷ 13 = 1 ⇒ 3² * 13

2) Prime factors of 88 = 2³ * 11
    Prime factors of 117 = 3² * 13

3) Choose the common and uncommon prime factors with the greatest exponent.
common prime factors: NONE
common prime factors with greatest exponent: NONE
uncommon prime factors: 2, 11, 3, 13
uncommon prime factors with greatest exponent: 2², 11¹, 3², 13¹

4) calculate LCM.
2² * 11¹ * 3² * 13¹ = 10,296