What is the LCM of 14 and 35? a. 140 b. 70 c. 56 d. 7
2 answers:
Answer: 70
Step-by-step explanation: To find the least common multiple for the integers 14 and 35, we start by making a factor tree for each of the integers.
14 factors as 2 × 7 and 35 is 7 × 5. We are looking for the factors that match up.
In this case, both integers have a factor of 7.
When finding the LCM, we multiply all the factors together, but because the 7's match up, we only need to multiply by 7 once.
So we have 2 × 7 × 5 which is 70.
Therefore, the least common multiple for 14 and 35 is 70.
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