What is the Least Common Multiple of 2975 and 2984?

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 2984 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 2984, than apply into the LCM equation.

GCF(2975,2984) = 1
LCM(2975,2984) = ( 2975 × 2984) / 1
LCM(2975,2984) = 8877400 / 1
LCM(2975,2984) = 8877400

Least Common Multiple (LCM) of 2975 and 2984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2975 and 2984. First we will calculate the prime factors of 2975 and 2984.

Prime Factorization of 2975

Prime Factorization of 2984

Now multiplying the highest exponent prime factors to calculate the LCM of 2975 and 2984.

LCM(2975,2984) = 5² × 7¹ × 17¹ × 2³ × 373¹
LCM(2975,2984) = 8877400