What is the Least Common Multiple of 30964 and 30968?

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 30964 and 30968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30964 and 30968, than apply into the LCM equation.

GCF(30964,30968) = 4
LCM(30964,30968) = ( 30964 × 30968) / 4
LCM(30964,30968) = 958893152 / 4
LCM(30964,30968) = 239723288

Least Common Multiple (LCM) of 30964 and 30968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30964 and 30968. First we will calculate the prime factors of 30964 and 30968.

Prime Factorization of 30964

Prime Factorization of 30968

Now multiplying the highest exponent prime factors to calculate the LCM of 30964 and 30968.

LCM(30964,30968) = 2³ × 7741¹ × 7² × 79¹
LCM(30964,30968) = 239723288