What is the Least Common Multiple of 6975 and 6990?

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 6975 and 6990 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6975 and 6990, than apply into the LCM equation.

GCF(6975,6990) = 15
LCM(6975,6990) = ( 6975 × 6990) / 15
LCM(6975,6990) = 48755250 / 15
LCM(6975,6990) = 3250350

Least Common Multiple (LCM) of 6975 and 6990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6975 and 6990. First we will calculate the prime factors of 6975 and 6990.

Prime Factorization of 6975

Prime Factorization of 6990

Now multiplying the highest exponent prime factors to calculate the LCM of 6975 and 6990.

LCM(6975,6990) = 3² × 5² × 31¹ × 2¹ × 233¹
LCM(6975,6990) = 3250350