What is the Least Common Multiple of 2970 and 2975?

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 2970 and 2975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2970 and 2975, than apply into the LCM equation.

GCF(2970,2975) = 5
LCM(2970,2975) = ( 2970 × 2975) / 5
LCM(2970,2975) = 8835750 / 5
LCM(2970,2975) = 1767150

Least Common Multiple (LCM) of 2970 and 2975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2970 and 2975. First we will calculate the prime factors of 2970 and 2975.

Prime Factorization of 2970

Prime Factorization of 2975

Now multiplying the highest exponent prime factors to calculate the LCM of 2970 and 2975.

LCM(2970,2975) = 2¹ × 3³ × 5² × 11¹ × 7¹ × 17¹
LCM(2970,2975) = 1767150