What is the Least Common Multiple of 78990 and 79010?

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 79010 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 79010, than apply into the LCM equation.

GCF(78990,79010) = 10
LCM(78990,79010) = ( 78990 × 79010) / 10
LCM(78990,79010) = 6240999900 / 10
LCM(78990,79010) = 624099990

Least Common Multiple (LCM) of 78990 and 79010 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78990 and 79010. First we will calculate the prime factors of 78990 and 79010.

Prime Factorization of 78990

Prime Factorization of 79010

Now multiplying the highest exponent prime factors to calculate the LCM of 78990 and 79010.

LCM(78990,79010) = 2¹ × 3¹ × 5¹ × 2633¹ × 7901¹
LCM(78990,79010) = 624099990