What is the Least Common Multiple of 30912 and 30920?

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 30920 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 30920, than apply into the LCM equation.

GCF(30912,30920) = 8
LCM(30912,30920) = ( 30912 × 30920) / 8
LCM(30912,30920) = 955799040 / 8
LCM(30912,30920) = 119474880

Least Common Multiple (LCM) of 30912 and 30920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30912 and 30920. First we will calculate the prime factors of 30912 and 30920.

Prime Factorization of 30912

Prime Factorization of 30920

Now multiplying the highest exponent prime factors to calculate the LCM of 30912 and 30920.

LCM(30912,30920) = 2⁶ × 3¹ × 7¹ × 23¹ × 5¹ × 773¹
LCM(30912,30920) = 119474880