What is the Least Common Multiple of 40908 and 40922?

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 40908 and 40922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40908 and 40922, than apply into the LCM equation.

GCF(40908,40922) = 14
LCM(40908,40922) = ( 40908 × 40922) / 14
LCM(40908,40922) = 1674037176 / 14
LCM(40908,40922) = 119574084

Least Common Multiple (LCM) of 40908 and 40922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40908 and 40922. First we will calculate the prime factors of 40908 and 40922.

Prime Factorization of 40908

Prime Factorization of 40922

Now multiplying the highest exponent prime factors to calculate the LCM of 40908 and 40922.

LCM(40908,40922) = 2² × 3¹ × 7¹ × 487¹ × 37¹ × 79¹
LCM(40908,40922) = 119574084