What is the Least Common Multiple of 4974 and 4986?

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 4986 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 4986, than apply into the LCM equation.

GCF(4974,4986) = 6
LCM(4974,4986) = ( 4974 × 4986) / 6
LCM(4974,4986) = 24800364 / 6
LCM(4974,4986) = 4133394

Least Common Multiple (LCM) of 4974 and 4986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4974 and 4986. First we will calculate the prime factors of 4974 and 4986.

Prime Factorization of 4974

Prime Factorization of 4986

Now multiplying the highest exponent prime factors to calculate the LCM of 4974 and 4986.

LCM(4974,4986) = 2¹ × 3² × 829¹ × 277¹
LCM(4974,4986) = 4133394