What is the Least Common Multiple of 61024 and 61028?

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 61028 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 61028, than apply into the LCM equation.

GCF(61024,61028) = 4
LCM(61024,61028) = ( 61024 × 61028) / 4
LCM(61024,61028) = 3724172672 / 4
LCM(61024,61028) = 931043168

Least Common Multiple (LCM) of 61024 and 61028 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61024 and 61028. First we will calculate the prime factors of 61024 and 61028.

Prime Factorization of 61024

Prime Factorization of 61028

Now multiplying the highest exponent prime factors to calculate the LCM of 61024 and 61028.

LCM(61024,61028) = 2⁵ × 1907¹ × 11¹ × 19¹ × 73¹
LCM(61024,61028) = 931043168