What is the Least Common Multiple of 79950 and 79968?

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 79950 and 79968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79950 and 79968, than apply into the LCM equation.

GCF(79950,79968) = 6
LCM(79950,79968) = ( 79950 × 79968) / 6
LCM(79950,79968) = 6393441600 / 6
LCM(79950,79968) = 1065573600

Least Common Multiple (LCM) of 79950 and 79968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79950 and 79968. First we will calculate the prime factors of 79950 and 79968.

Prime Factorization of 79950

Prime Factorization of 79968

Now multiplying the highest exponent prime factors to calculate the LCM of 79950 and 79968.

LCM(79950,79968) = 2⁵ × 3¹ × 5² × 13¹ × 41¹ × 7² × 17¹
LCM(79950,79968) = 1065573600