What is the Least Common Multiple of 12975 and 12984?

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 12975 and 12984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12975 and 12984, than apply into the LCM equation.

GCF(12975,12984) = 3
LCM(12975,12984) = ( 12975 × 12984) / 3
LCM(12975,12984) = 168467400 / 3
LCM(12975,12984) = 56155800

Least Common Multiple (LCM) of 12975 and 12984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12975 and 12984. First we will calculate the prime factors of 12975 and 12984.

Prime Factorization of 12975

Prime Factorization of 12984

Now multiplying the highest exponent prime factors to calculate the LCM of 12975 and 12984.

LCM(12975,12984) = 3¹ × 5² × 173¹ × 2³ × 541¹
LCM(12975,12984) = 56155800