What is the Least Common Multiple of 4923 and 4932?

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 4923 and 4932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4923 and 4932, than apply into the LCM equation.

GCF(4923,4932) = 9
LCM(4923,4932) = ( 4923 × 4932) / 9
LCM(4923,4932) = 24280236 / 9
LCM(4923,4932) = 2697804

Least Common Multiple (LCM) of 4923 and 4932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4923 and 4932. First we will calculate the prime factors of 4923 and 4932.

Prime Factorization of 4923

Prime Factorization of 4932

Now multiplying the highest exponent prime factors to calculate the LCM of 4923 and 4932.

LCM(4923,4932) = 3² × 547¹ × 2² × 137¹
LCM(4923,4932) = 2697804