What is the Least Common Multiple of 61938 and 61944?

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 61938 and 61944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61938 and 61944, than apply into the LCM equation.

GCF(61938,61944) = 6
LCM(61938,61944) = ( 61938 × 61944) / 6
LCM(61938,61944) = 3836687472 / 6
LCM(61938,61944) = 639447912

Least Common Multiple (LCM) of 61938 and 61944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61938 and 61944. First we will calculate the prime factors of 61938 and 61944.

Prime Factorization of 61938

Prime Factorization of 61944

Now multiplying the highest exponent prime factors to calculate the LCM of 61938 and 61944.

LCM(61938,61944) = 2³ × 3³ × 31¹ × 37¹ × 29¹ × 89¹
LCM(61938,61944) = 639447912