What is the Least Common Multiple of 78990 and 79009?

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 78990 and 79009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78990 and 79009, than apply into the LCM equation.

GCF(78990,79009) = 1
LCM(78990,79009) = ( 78990 × 79009) / 1
LCM(78990,79009) = 6240920910 / 1
LCM(78990,79009) = 6240920910

Least Common Multiple (LCM) of 78990 and 79009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78990 and 79009. First we will calculate the prime factors of 78990 and 79009.

Prime Factorization of 78990

Prime Factorization of 79009

Now multiplying the highest exponent prime factors to calculate the LCM of 78990 and 79009.

LCM(78990,79009) = 2¹ × 3¹ × 5¹ × 2633¹ × 7¹ × 11287¹
LCM(78990,79009) = 6240920910