What is the Least Common Multiple of 37544 and 37557?

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 37544 and 37557 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37544 and 37557, than apply into the LCM equation.

GCF(37544,37557) = 13
LCM(37544,37557) = ( 37544 × 37557) / 13
LCM(37544,37557) = 1410040008 / 13
LCM(37544,37557) = 108464616

Least Common Multiple (LCM) of 37544 and 37557 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37544 and 37557. First we will calculate the prime factors of 37544 and 37557.

Prime Factorization of 37544

Prime Factorization of 37557

Now multiplying the highest exponent prime factors to calculate the LCM of 37544 and 37557.

LCM(37544,37557) = 2³ × 13¹ × 19² × 3³ × 107¹
LCM(37544,37557) = 108464616