What is the Least Common Multiple of 30624 and 30628?

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 30624 and 30628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30624 and 30628, than apply into the LCM equation.

GCF(30624,30628) = 4
LCM(30624,30628) = ( 30624 × 30628) / 4
LCM(30624,30628) = 937951872 / 4
LCM(30624,30628) = 234487968

Least Common Multiple (LCM) of 30624 and 30628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30624 and 30628. First we will calculate the prime factors of 30624 and 30628.

Prime Factorization of 30624

Prime Factorization of 30628

Now multiplying the highest exponent prime factors to calculate the LCM of 30624 and 30628.

LCM(30624,30628) = 2⁵ × 3¹ × 11¹ × 29¹ × 13¹ × 19¹ × 31¹
LCM(30624,30628) = 234487968