What is the Least Common Multiple of 61633 and 61646?

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 61633 and 61646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61633 and 61646, than apply into the LCM equation.

GCF(61633,61646) = 13
LCM(61633,61646) = ( 61633 × 61646) / 13
LCM(61633,61646) = 3799427918 / 13
LCM(61633,61646) = 292263686

Least Common Multiple (LCM) of 61633 and 61646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61633 and 61646. First we will calculate the prime factors of 61633 and 61646.

Prime Factorization of 61633

Prime Factorization of 61646

Now multiplying the highest exponent prime factors to calculate the LCM of 61633 and 61646.

LCM(61633,61646) = 11¹ × 13¹ × 431¹ × 2¹ × 2371¹
LCM(61633,61646) = 292263686