What is the Least Common Multiple of 78972 and 78990?

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 78990 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 78990, than apply into the LCM equation.

GCF(78972,78990) = 6
LCM(78972,78990) = ( 78972 × 78990) / 6
LCM(78972,78990) = 6237998280 / 6
LCM(78972,78990) = 1039666380

Least Common Multiple (LCM) of 78972 and 78990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78972 and 78990. First we will calculate the prime factors of 78972 and 78990.

Prime Factorization of 78972

Prime Factorization of 78990

Now multiplying the highest exponent prime factors to calculate the LCM of 78972 and 78990.

LCM(78972,78990) = 2² × 3¹ × 6581¹ × 5¹ × 2633¹
LCM(78972,78990) = 1039666380