What is the Least Common Multiple of 61472 and 61491?

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 61472 and 61491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61472 and 61491, than apply into the LCM equation.

GCF(61472,61491) = 1
LCM(61472,61491) = ( 61472 × 61491) / 1
LCM(61472,61491) = 3779974752 / 1
LCM(61472,61491) = 3779974752

Least Common Multiple (LCM) of 61472 and 61491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61472 and 61491. First we will calculate the prime factors of 61472 and 61491.

Prime Factorization of 61472

Prime Factorization of 61491

Now multiplying the highest exponent prime factors to calculate the LCM of 61472 and 61491.

LCM(61472,61491) = 2⁵ × 17¹ × 113¹ × 3¹ × 103¹ × 199¹
LCM(61472,61491) = 3779974752