What is the Least Common Multiple of 37912 and 37932?

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 37912 and 37932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37912 and 37932, than apply into the LCM equation.

GCF(37912,37932) = 4
LCM(37912,37932) = ( 37912 × 37932) / 4
LCM(37912,37932) = 1438077984 / 4
LCM(37912,37932) = 359519496

Least Common Multiple (LCM) of 37912 and 37932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37912 and 37932. First we will calculate the prime factors of 37912 and 37932.

Prime Factorization of 37912

Prime Factorization of 37932

Now multiplying the highest exponent prime factors to calculate the LCM of 37912 and 37932.

LCM(37912,37932) = 2³ × 7¹ × 677¹ × 3¹ × 29¹ × 109¹
LCM(37912,37932) = 359519496