What is the Least Common Multiple of 79976 and 79980?

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 79976 and 79980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79976 and 79980, than apply into the LCM equation.

GCF(79976,79980) = 4
LCM(79976,79980) = ( 79976 × 79980) / 4
LCM(79976,79980) = 6396480480 / 4
LCM(79976,79980) = 1599120120

Least Common Multiple (LCM) of 79976 and 79980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79976 and 79980. First we will calculate the prime factors of 79976 and 79980.

Prime Factorization of 79976

Prime Factorization of 79980

Now multiplying the highest exponent prime factors to calculate the LCM of 79976 and 79980.

LCM(79976,79980) = 2³ × 13¹ × 769¹ × 3¹ × 5¹ × 31¹ × 43¹
LCM(79976,79980) = 1599120120