What is the Least Common Multiple of 37479 and 37497?

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 37479 and 37497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37479 and 37497, than apply into the LCM equation.

GCF(37479,37497) = 3
LCM(37479,37497) = ( 37479 × 37497) / 3
LCM(37479,37497) = 1405350063 / 3
LCM(37479,37497) = 468450021

Least Common Multiple (LCM) of 37479 and 37497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37479 and 37497. First we will calculate the prime factors of 37479 and 37497.

Prime Factorization of 37479

Prime Factorization of 37497

Now multiplying the highest exponent prime factors to calculate the LCM of 37479 and 37497.

LCM(37479,37497) = 3¹ × 13¹ × 31² × 29¹ × 431¹
LCM(37479,37497) = 468450021