What is the Least Common Multiple of 61638 and 61653?

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 61638 and 61653 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61638 and 61653, than apply into the LCM equation.

GCF(61638,61653) = 3
LCM(61638,61653) = ( 61638 × 61653) / 3
LCM(61638,61653) = 3800167614 / 3
LCM(61638,61653) = 1266722538

Least Common Multiple (LCM) of 61638 and 61653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61638 and 61653. First we will calculate the prime factors of 61638 and 61653.

Prime Factorization of 61638

Prime Factorization of 61653

Now multiplying the highest exponent prime factors to calculate the LCM of 61638 and 61653.

LCM(61638,61653) = 2¹ × 3¹ × 10273¹ × 20551¹
LCM(61638,61653) = 1266722538