What is the Least Common Multiple of 30912 and 30924?

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 30912 and 30924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30912 and 30924, than apply into the LCM equation.

GCF(30912,30924) = 12
LCM(30912,30924) = ( 30912 × 30924) / 12
LCM(30912,30924) = 955922688 / 12
LCM(30912,30924) = 79660224

Least Common Multiple (LCM) of 30912 and 30924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30912 and 30924. First we will calculate the prime factors of 30912 and 30924.

Prime Factorization of 30912

Prime Factorization of 30924

Now multiplying the highest exponent prime factors to calculate the LCM of 30912 and 30924.

LCM(30912,30924) = 2⁶ × 3² × 7¹ × 23¹ × 859¹
LCM(30912,30924) = 79660224