What is the Least Common Multiple of 37695 and 37700?

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 37695 and 37700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37695 and 37700, than apply into the LCM equation.

GCF(37695,37700) = 5
LCM(37695,37700) = ( 37695 × 37700) / 5
LCM(37695,37700) = 1421101500 / 5
LCM(37695,37700) = 284220300

Least Common Multiple (LCM) of 37695 and 37700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37695 and 37700. First we will calculate the prime factors of 37695 and 37700.

Prime Factorization of 37695

Prime Factorization of 37700

Now multiplying the highest exponent prime factors to calculate the LCM of 37695 and 37700.

LCM(37695,37700) = 3¹ × 5² × 7¹ × 359¹ × 2² × 13¹ × 29¹
LCM(37695,37700) = 284220300