What is the Least Common Multiple of 78972 and 78980?

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 78972 and 78980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78972 and 78980, than apply into the LCM equation.

GCF(78972,78980) = 4
LCM(78972,78980) = ( 78972 × 78980) / 4
LCM(78972,78980) = 6237208560 / 4
LCM(78972,78980) = 1559302140

Least Common Multiple (LCM) of 78972 and 78980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78972 and 78980. First we will calculate the prime factors of 78972 and 78980.

Prime Factorization of 78972

Prime Factorization of 78980

Now multiplying the highest exponent prime factors to calculate the LCM of 78972 and 78980.

LCM(78972,78980) = 2² × 3¹ × 6581¹ × 5¹ × 11¹ × 359¹
LCM(78972,78980) = 1559302140