What is the Least Common Multiple of 79972 and 79976?

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 79972 and 79976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79972 and 79976, than apply into the LCM equation.

GCF(79972,79976) = 4
LCM(79972,79976) = ( 79972 × 79976) / 4
LCM(79972,79976) = 6395840672 / 4
LCM(79972,79976) = 1598960168

Least Common Multiple (LCM) of 79972 and 79976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79972 and 79976. First we will calculate the prime factors of 79972 and 79976.

Prime Factorization of 79972

Prime Factorization of 79976

Now multiplying the highest exponent prime factors to calculate the LCM of 79972 and 79976.

LCM(79972,79976) = 2³ × 19993¹ × 13¹ × 769¹
LCM(79972,79976) = 1598960168