What is the Least Common Multiple of 4974 and 4992?

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 4974 and 4992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4974 and 4992, than apply into the LCM equation.

GCF(4974,4992) = 6
LCM(4974,4992) = ( 4974 × 4992) / 6
LCM(4974,4992) = 24830208 / 6
LCM(4974,4992) = 4138368

Least Common Multiple (LCM) of 4974 and 4992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4974 and 4992. First we will calculate the prime factors of 4974 and 4992.

Prime Factorization of 4974

Prime Factorization of 4992

Now multiplying the highest exponent prime factors to calculate the LCM of 4974 and 4992.

LCM(4974,4992) = 2⁷ × 3¹ × 829¹ × 13¹
LCM(4974,4992) = 4138368