What is the Least Common Multiple of 7950 and 7968?

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 7950 and 7968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7950 and 7968, than apply into the LCM equation.

GCF(7950,7968) = 6
LCM(7950,7968) = ( 7950 × 7968) / 6
LCM(7950,7968) = 63345600 / 6
LCM(7950,7968) = 10557600

Least Common Multiple (LCM) of 7950 and 7968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7950 and 7968. First we will calculate the prime factors of 7950 and 7968.

Prime Factorization of 7950

Prime Factorization of 7968

Now multiplying the highest exponent prime factors to calculate the LCM of 7950 and 7968.

LCM(7950,7968) = 2⁵ × 3¹ × 5² × 53¹ × 83¹
LCM(7950,7968) = 10557600