What is the Least Common Multiple of 4974 and 4994?

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 4994 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 4994, than apply into the LCM equation.

GCF(4974,4994) = 2
LCM(4974,4994) = ( 4974 × 4994) / 2
LCM(4974,4994) = 24840156 / 2
LCM(4974,4994) = 12420078

Least Common Multiple (LCM) of 4974 and 4994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4974 and 4994. First we will calculate the prime factors of 4974 and 4994.

Prime Factorization of 4974

Prime Factorization of 4994

Now multiplying the highest exponent prime factors to calculate the LCM of 4974 and 4994.

LCM(4974,4994) = 2¹ × 3¹ × 829¹ × 11¹ × 227¹
LCM(4974,4994) = 12420078