What is the Least Common Multiple of 37359 and 37373?

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 37359 and 37373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37359 and 37373, than apply into the LCM equation.

GCF(37359,37373) = 7
LCM(37359,37373) = ( 37359 × 37373) / 7
LCM(37359,37373) = 1396217907 / 7
LCM(37359,37373) = 199459701

Least Common Multiple (LCM) of 37359 and 37373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37359 and 37373. First we will calculate the prime factors of 37359 and 37373.

Prime Factorization of 37359

Prime Factorization of 37373

Now multiplying the highest exponent prime factors to calculate the LCM of 37359 and 37373.

LCM(37359,37373) = 3² × 7¹ × 593¹ × 19¹ × 281¹
LCM(37359,37373) = 199459701