What is the Least Common Multiple of 78640 and 78645?

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 78640 and 78645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78640 and 78645, than apply into the LCM equation.

GCF(78640,78645) = 5
LCM(78640,78645) = ( 78640 × 78645) / 5
LCM(78640,78645) = 6184642800 / 5
LCM(78640,78645) = 1236928560

Least Common Multiple (LCM) of 78640 and 78645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78640 and 78645. First we will calculate the prime factors of 78640 and 78645.

Prime Factorization of 78640

Prime Factorization of 78645

Now multiplying the highest exponent prime factors to calculate the LCM of 78640 and 78645.

LCM(78640,78645) = 2⁴ × 5¹ × 983¹ × 3¹ × 7² × 107¹
LCM(78640,78645) = 1236928560