What is the Least Common Multiple of 37105 and 37113?

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 37105 and 37113 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37105 and 37113, than apply into the LCM equation.

GCF(37105,37113) = 1
LCM(37105,37113) = ( 37105 × 37113) / 1
LCM(37105,37113) = 1377077865 / 1
LCM(37105,37113) = 1377077865

Least Common Multiple (LCM) of 37105 and 37113 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37105 and 37113. First we will calculate the prime factors of 37105 and 37113.

Prime Factorization of 37105

Prime Factorization of 37113

Now multiplying the highest exponent prime factors to calculate the LCM of 37105 and 37113.

LCM(37105,37113) = 5¹ × 41¹ × 181¹ × 3¹ × 89¹ × 139¹
LCM(37105,37113) = 1377077865