What is the Least Common Multiple of 48912 and 48921?

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 48912 and 48921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48912 and 48921, than apply into the LCM equation.

GCF(48912,48921) = 3
LCM(48912,48921) = ( 48912 × 48921) / 3
LCM(48912,48921) = 2392823952 / 3
LCM(48912,48921) = 797607984

Least Common Multiple (LCM) of 48912 and 48921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48912 and 48921. First we will calculate the prime factors of 48912 and 48921.

Prime Factorization of 48912

Prime Factorization of 48921

Now multiplying the highest exponent prime factors to calculate the LCM of 48912 and 48921.

LCM(48912,48921) = 2⁴ × 3¹ × 1019¹ × 23¹ × 709¹
LCM(48912,48921) = 797607984