What is the Least Common Multiple of 37109 and 37128?

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 37109 and 37128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37109 and 37128, than apply into the LCM equation.

GCF(37109,37128) = 1
LCM(37109,37128) = ( 37109 × 37128) / 1
LCM(37109,37128) = 1377782952 / 1
LCM(37109,37128) = 1377782952

Least Common Multiple (LCM) of 37109 and 37128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37109 and 37128. First we will calculate the prime factors of 37109 and 37128.

Prime Factorization of 37109

Prime Factorization of 37128

Now multiplying the highest exponent prime factors to calculate the LCM of 37109 and 37128.

LCM(37109,37128) = 43¹ × 863¹ × 2³ × 3¹ × 7¹ × 13¹ × 17¹
LCM(37109,37128) = 1377782952