What is the Least Common Multiple of 78623 and 78630?

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 78623 and 78630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78623 and 78630, than apply into the LCM equation.

GCF(78623,78630) = 1
LCM(78623,78630) = ( 78623 × 78630) / 1
LCM(78623,78630) = 6182126490 / 1
LCM(78623,78630) = 6182126490

Least Common Multiple (LCM) of 78623 and 78630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78623 and 78630. First we will calculate the prime factors of 78623 and 78630.

Prime Factorization of 78623

Prime Factorization of 78630

Now multiplying the highest exponent prime factors to calculate the LCM of 78623 and 78630.

LCM(78623,78630) = 78623¹ × 2¹ × 3¹ × 5¹ × 2621¹
LCM(78623,78630) = 6182126490