What is the Least Common Multiple of 61023 and 61032?

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 61023 and 61032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61023 and 61032, than apply into the LCM equation.

GCF(61023,61032) = 3
LCM(61023,61032) = ( 61023 × 61032) / 3
LCM(61023,61032) = 3724355736 / 3
LCM(61023,61032) = 1241451912

Least Common Multiple (LCM) of 61023 and 61032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61023 and 61032. First we will calculate the prime factors of 61023 and 61032.

Prime Factorization of 61023

Prime Factorization of 61032

Now multiplying the highest exponent prime factors to calculate the LCM of 61023 and 61032.

LCM(61023,61032) = 3¹ × 20341¹ × 2³ × 2543¹
LCM(61023,61032) = 1241451912