What is the Least Common Multiple of 12975 and 12993?

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 12993 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 12993, than apply into the LCM equation.

GCF(12975,12993) = 3
LCM(12975,12993) = ( 12975 × 12993) / 3
LCM(12975,12993) = 168584175 / 3
LCM(12975,12993) = 56194725

Least Common Multiple (LCM) of 12975 and 12993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12975 and 12993. First we will calculate the prime factors of 12975 and 12993.

Prime Factorization of 12975

Prime Factorization of 12993

Now multiplying the highest exponent prime factors to calculate the LCM of 12975 and 12993.

LCM(12975,12993) = 3¹ × 5² × 173¹ × 61¹ × 71¹
LCM(12975,12993) = 56194725