What is the Least Common Multiple of 78640 and 78657?

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 78657 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 78657, than apply into the LCM equation.

GCF(78640,78657) = 1
LCM(78640,78657) = ( 78640 × 78657) / 1
LCM(78640,78657) = 6185586480 / 1
LCM(78640,78657) = 6185586480

Least Common Multiple (LCM) of 78640 and 78657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78640 and 78657. First we will calculate the prime factors of 78640 and 78657.

Prime Factorization of 78640

Prime Factorization of 78657

Now multiplying the highest exponent prime factors to calculate the LCM of 78640 and 78657.

LCM(78640,78657) = 2⁴ × 5¹ × 983¹ × 3¹ × 157¹ × 167¹
LCM(78640,78657) = 6185586480