What is the Least Common Multiple of 61344 and 61357?

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 61344 and 61357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61344 and 61357, than apply into the LCM equation.

GCF(61344,61357) = 1
LCM(61344,61357) = ( 61344 × 61357) / 1
LCM(61344,61357) = 3763883808 / 1
LCM(61344,61357) = 3763883808

Least Common Multiple (LCM) of 61344 and 61357 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61344 and 61357. First we will calculate the prime factors of 61344 and 61357.

Prime Factorization of 61344

Prime Factorization of 61357

Now multiplying the highest exponent prime factors to calculate the LCM of 61344 and 61357.

LCM(61344,61357) = 2⁵ × 3³ × 71¹ × 61357¹
LCM(61344,61357) = 3763883808