What is the Least Common Multiple of 61944 and 61962?

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 61944 and 61962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61944 and 61962, than apply into the LCM equation.

GCF(61944,61962) = 6
LCM(61944,61962) = ( 61944 × 61962) / 6
LCM(61944,61962) = 3838174128 / 6
LCM(61944,61962) = 639695688

Least Common Multiple (LCM) of 61944 and 61962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61944 and 61962. First we will calculate the prime factors of 61944 and 61962.

Prime Factorization of 61944

Prime Factorization of 61962

Now multiplying the highest exponent prime factors to calculate the LCM of 61944 and 61962.

LCM(61944,61962) = 2³ × 3¹ × 29¹ × 89¹ × 23¹ × 449¹
LCM(61944,61962) = 639695688