What is the Least Common Multiple of 37516 and 37523?

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 37516 and 37523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37516 and 37523, than apply into the LCM equation.

GCF(37516,37523) = 1
LCM(37516,37523) = ( 37516 × 37523) / 1
LCM(37516,37523) = 1407712868 / 1
LCM(37516,37523) = 1407712868

Least Common Multiple (LCM) of 37516 and 37523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37516 and 37523. First we will calculate the prime factors of 37516 and 37523.

Prime Factorization of 37516

Prime Factorization of 37523

Now multiplying the highest exponent prime factors to calculate the LCM of 37516 and 37523.

LCM(37516,37523) = 2² × 83¹ × 113¹ × 157¹ × 239¹
LCM(37516,37523) = 1407712868