What is the Least Common Multiple of 61938 and 61947?

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 61947 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 61947, than apply into the LCM equation.

GCF(61938,61947) = 9
LCM(61938,61947) = ( 61938 × 61947) / 9
LCM(61938,61947) = 3836873286 / 9
LCM(61938,61947) = 426319254

Least Common Multiple (LCM) of 61938 and 61947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61938 and 61947. First we will calculate the prime factors of 61938 and 61947.

Prime Factorization of 61938

Prime Factorization of 61947

Now multiplying the highest exponent prime factors to calculate the LCM of 61938 and 61947.

LCM(61938,61947) = 2¹ × 3³ × 31¹ × 37¹ × 6883¹
LCM(61938,61947) = 426319254