What is the Least Common Multiple of 37719 and 37726?

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 37719 and 37726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37719 and 37726, than apply into the LCM equation.

GCF(37719,37726) = 1
LCM(37719,37726) = ( 37719 × 37726) / 1
LCM(37719,37726) = 1422986994 / 1
LCM(37719,37726) = 1422986994

Least Common Multiple (LCM) of 37719 and 37726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37719 and 37726. First we will calculate the prime factors of 37719 and 37726.

Prime Factorization of 37719

Prime Factorization of 37726

Now multiplying the highest exponent prime factors to calculate the LCM of 37719 and 37726.

LCM(37719,37726) = 3³ × 11¹ × 127¹ × 2¹ × 13¹ × 1451¹
LCM(37719,37726) = 1422986994