What is the Least Common Multiple of 61908 and 61926?

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 61908 and 61926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61908 and 61926, than apply into the LCM equation.

GCF(61908,61926) = 6
LCM(61908,61926) = ( 61908 × 61926) / 6
LCM(61908,61926) = 3833714808 / 6
LCM(61908,61926) = 638952468

Least Common Multiple (LCM) of 61908 and 61926 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61908 and 61926. First we will calculate the prime factors of 61908 and 61926.

Prime Factorization of 61908

Prime Factorization of 61926

Now multiplying the highest exponent prime factors to calculate the LCM of 61908 and 61926.

LCM(61908,61926) = 2² × 3¹ × 7¹ × 11¹ × 67¹ × 10321¹
LCM(61908,61926) = 638952468