What is the Least Common Multiple of 61632 and 61637?

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 61632 and 61637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61632 and 61637, than apply into the LCM equation.

GCF(61632,61637) = 1
LCM(61632,61637) = ( 61632 × 61637) / 1
LCM(61632,61637) = 3798811584 / 1
LCM(61632,61637) = 3798811584

Least Common Multiple (LCM) of 61632 and 61637 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61632 and 61637. First we will calculate the prime factors of 61632 and 61637.

Prime Factorization of 61632

Prime Factorization of 61637

Now multiplying the highest exponent prime factors to calculate the LCM of 61632 and 61637.

LCM(61632,61637) = 2⁶ × 3² × 107¹ × 61637¹
LCM(61632,61637) = 3798811584