What is the Least Common Multiple of 79968 and 79974?

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 79968 and 79974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79968 and 79974, than apply into the LCM equation.

GCF(79968,79974) = 6
LCM(79968,79974) = ( 79968 × 79974) / 6
LCM(79968,79974) = 6395360832 / 6
LCM(79968,79974) = 1065893472

Least Common Multiple (LCM) of 79968 and 79974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79968 and 79974. First we will calculate the prime factors of 79968 and 79974.

Prime Factorization of 79968

Prime Factorization of 79974

Now multiplying the highest exponent prime factors to calculate the LCM of 79968 and 79974.

LCM(79968,79974) = 2⁵ × 3³ × 7² × 17¹ × 1481¹
LCM(79968,79974) = 1065893472