What is the Least Common Multiple of 79968 and 79972?

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 79972 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 79972, than apply into the LCM equation.

GCF(79968,79972) = 4
LCM(79968,79972) = ( 79968 × 79972) / 4
LCM(79968,79972) = 6395200896 / 4
LCM(79968,79972) = 1598800224

Least Common Multiple (LCM) of 79968 and 79972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79968 and 79972. First we will calculate the prime factors of 79968 and 79972.

Prime Factorization of 79968

Prime Factorization of 79972

Now multiplying the highest exponent prime factors to calculate the LCM of 79968 and 79972.

LCM(79968,79972) = 2⁵ × 3¹ × 7² × 17¹ × 19993¹
LCM(79968,79972) = 1598800224