What is the Least Common Multiple of 61588 and 61608?

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 61588 and 61608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61588 and 61608, than apply into the LCM equation.

GCF(61588,61608) = 4
LCM(61588,61608) = ( 61588 × 61608) / 4
LCM(61588,61608) = 3794313504 / 4
LCM(61588,61608) = 948578376

Least Common Multiple (LCM) of 61588 and 61608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61588 and 61608. First we will calculate the prime factors of 61588 and 61608.

Prime Factorization of 61588

Prime Factorization of 61608

Now multiplying the highest exponent prime factors to calculate the LCM of 61588 and 61608.

LCM(61588,61608) = 2³ × 89¹ × 173¹ × 3¹ × 17¹ × 151¹
LCM(61588,61608) = 948578376