What is the Least Common Multiple of 2975 and 2994?

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 2975 and 2994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2975 and 2994, than apply into the LCM equation.

GCF(2975,2994) = 1
LCM(2975,2994) = ( 2975 × 2994) / 1
LCM(2975,2994) = 8907150 / 1
LCM(2975,2994) = 8907150

Least Common Multiple (LCM) of 2975 and 2994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2975 and 2994. First we will calculate the prime factors of 2975 and 2994.

Prime Factorization of 2975

Prime Factorization of 2994

Now multiplying the highest exponent prime factors to calculate the LCM of 2975 and 2994.

LCM(2975,2994) = 5² × 7¹ × 17¹ × 2¹ × 3¹ × 499¹
LCM(2975,2994) = 8907150