What is the Least Common Multiple of 78630 and 78642?

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 78630 and 78642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78630 and 78642, than apply into the LCM equation.

GCF(78630,78642) = 6
LCM(78630,78642) = ( 78630 × 78642) / 6
LCM(78630,78642) = 6183620460 / 6
LCM(78630,78642) = 1030603410

Least Common Multiple (LCM) of 78630 and 78642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78630 and 78642. First we will calculate the prime factors of 78630 and 78642.

Prime Factorization of 78630

Prime Factorization of 78642

Now multiplying the highest exponent prime factors to calculate the LCM of 78630 and 78642.

LCM(78630,78642) = 2¹ × 3² × 5¹ × 2621¹ × 17¹ × 257¹
LCM(78630,78642) = 1030603410