What is the Least Common Multiple of 30596 and 30610?

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 30596 and 30610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30596 and 30610, than apply into the LCM equation.

GCF(30596,30610) = 2
LCM(30596,30610) = ( 30596 × 30610) / 2
LCM(30596,30610) = 936543560 / 2
LCM(30596,30610) = 468271780

Least Common Multiple (LCM) of 30596 and 30610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30596 and 30610. First we will calculate the prime factors of 30596 and 30610.

Prime Factorization of 30596

Prime Factorization of 30610

Now multiplying the highest exponent prime factors to calculate the LCM of 30596 and 30610.

LCM(30596,30610) = 2² × 7649¹ × 5¹ × 3061¹
LCM(30596,30610) = 468271780