What is the Least Common Multiple of 4974 and 4984?

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 4984 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 4984, than apply into the LCM equation.

GCF(4974,4984) = 2
LCM(4974,4984) = ( 4974 × 4984) / 2
LCM(4974,4984) = 24790416 / 2
LCM(4974,4984) = 12395208

Least Common Multiple (LCM) of 4974 and 4984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4974 and 4984. First we will calculate the prime factors of 4974 and 4984.

Prime Factorization of 4974

Prime Factorization of 4984

Now multiplying the highest exponent prime factors to calculate the LCM of 4974 and 4984.

LCM(4974,4984) = 2³ × 3¹ × 829¹ × 7¹ × 89¹
LCM(4974,4984) = 12395208