What is the Least Common Multiple of 37349 and 37366?

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 37349 and 37366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37349 and 37366, than apply into the LCM equation.

GCF(37349,37366) = 17
LCM(37349,37366) = ( 37349 × 37366) / 17
LCM(37349,37366) = 1395582734 / 17
LCM(37349,37366) = 82093102

Least Common Multiple (LCM) of 37349 and 37366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37349 and 37366. First we will calculate the prime factors of 37349 and 37366.

Prime Factorization of 37349

Prime Factorization of 37366

Now multiplying the highest exponent prime factors to calculate the LCM of 37349 and 37366.

LCM(37349,37366) = 13³ × 17¹ × 2¹ × 7¹ × 157¹
LCM(37349,37366) = 82093102