What is the Least Common Multiple of 61856 and 61868?

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 61856 and 61868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61856 and 61868, than apply into the LCM equation.

GCF(61856,61868) = 4
LCM(61856,61868) = ( 61856 × 61868) / 4
LCM(61856,61868) = 3826907008 / 4
LCM(61856,61868) = 956726752

Least Common Multiple (LCM) of 61856 and 61868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61856 and 61868. First we will calculate the prime factors of 61856 and 61868.

Prime Factorization of 61856

Prime Factorization of 61868

Now multiplying the highest exponent prime factors to calculate the LCM of 61856 and 61868.

LCM(61856,61868) = 2⁵ × 1933¹ × 15467¹
LCM(61856,61868) = 956726752