What is the Least Common Multiple of 79980 and 79992?

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 79980 and 79992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79980 and 79992, than apply into the LCM equation.

GCF(79980,79992) = 12
LCM(79980,79992) = ( 79980 × 79992) / 12
LCM(79980,79992) = 6397760160 / 12
LCM(79980,79992) = 533146680

Least Common Multiple (LCM) of 79980 and 79992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79980 and 79992. First we will calculate the prime factors of 79980 and 79992.

Prime Factorization of 79980

Prime Factorization of 79992

Now multiplying the highest exponent prime factors to calculate the LCM of 79980 and 79992.

LCM(79980,79992) = 2³ × 3² × 5¹ × 31¹ × 43¹ × 11¹ × 101¹
LCM(79980,79992) = 533146680