What is the Least Common Multiple of 61024 and 61039?

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 61024 and 61039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61024 and 61039, than apply into the LCM equation.

GCF(61024,61039) = 1
LCM(61024,61039) = ( 61024 × 61039) / 1
LCM(61024,61039) = 3724843936 / 1
LCM(61024,61039) = 3724843936

Least Common Multiple (LCM) of 61024 and 61039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61024 and 61039. First we will calculate the prime factors of 61024 and 61039.

Prime Factorization of 61024

Prime Factorization of 61039

Now multiplying the highest exponent prime factors to calculate the LCM of 61024 and 61039.

LCM(61024,61039) = 2⁵ × 1907¹ × 11¹ × 31¹ × 179¹
LCM(61024,61039) = 3724843936