What is the Least Common Multiple of 37074 and 37082?

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 37074 and 37082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37074 and 37082, than apply into the LCM equation.

GCF(37074,37082) = 2
LCM(37074,37082) = ( 37074 × 37082) / 2
LCM(37074,37082) = 1374778068 / 2
LCM(37074,37082) = 687389034

Least Common Multiple (LCM) of 37074 and 37082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37074 and 37082. First we will calculate the prime factors of 37074 and 37082.

Prime Factorization of 37074

Prime Factorization of 37082

Now multiplying the highest exponent prime factors to calculate the LCM of 37074 and 37082.

LCM(37074,37082) = 2¹ × 3¹ × 37¹ × 167¹ × 18541¹
LCM(37074,37082) = 687389034