What is the Least Common Multiple of 37514 and 37532?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 37514 and 37532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37514 and 37532, than apply into the LCM equation.

GCF(37514,37532) = 2
LCM(37514,37532) = ( 37514 × 37532) / 2
LCM(37514,37532) = 1407975448 / 2
LCM(37514,37532) = 703987724

Least Common Multiple (LCM) of 37514 and 37532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37514 and 37532. First we will calculate the prime factors of 37514 and 37532.

Prime Factorization of 37514

Prime Factorization of 37532

Now multiplying the highest exponent prime factors to calculate the LCM of 37514 and 37532.

LCM(37514,37532) = 2² × 18757¹ × 11¹ × 853¹
LCM(37514,37532) = 703987724