What is the Least Common Multiple of 6975 and 6988?

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 6988 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 6988, than apply into the LCM equation.

GCF(6975,6988) = 1
LCM(6975,6988) = ( 6975 × 6988) / 1
LCM(6975,6988) = 48741300 / 1
LCM(6975,6988) = 48741300

Least Common Multiple (LCM) of 6975 and 6988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6975 and 6988. First we will calculate the prime factors of 6975 and 6988.

Prime Factorization of 6975

Prime Factorization of 6988

Now multiplying the highest exponent prime factors to calculate the LCM of 6975 and 6988.

LCM(6975,6988) = 3² × 5² × 31¹ × 2² × 1747¹
LCM(6975,6988) = 48741300