What is the Least Common Multiple of 24912 and 24920?

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 24912 and 24920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24912 and 24920, than apply into the LCM equation.

GCF(24912,24920) = 8
LCM(24912,24920) = ( 24912 × 24920) / 8
LCM(24912,24920) = 620807040 / 8
LCM(24912,24920) = 77600880

Least Common Multiple (LCM) of 24912 and 24920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24912 and 24920. First we will calculate the prime factors of 24912 and 24920.

Prime Factorization of 24912

Prime Factorization of 24920

Now multiplying the highest exponent prime factors to calculate the LCM of 24912 and 24920.

LCM(24912,24920) = 2⁴ × 3² × 173¹ × 5¹ × 7¹ × 89¹
LCM(24912,24920) = 77600880