What is the Least Common Multiple of 78714 and 78720?

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 78714 and 78720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78714 and 78720, than apply into the LCM equation.

GCF(78714,78720) = 6
LCM(78714,78720) = ( 78714 × 78720) / 6
LCM(78714,78720) = 6196366080 / 6
LCM(78714,78720) = 1032727680

Least Common Multiple (LCM) of 78714 and 78720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78714 and 78720. First we will calculate the prime factors of 78714 and 78720.

Prime Factorization of 78714

Prime Factorization of 78720

Now multiplying the highest exponent prime factors to calculate the LCM of 78714 and 78720.

LCM(78714,78720) = 2⁷ × 3² × 4373¹ × 5¹ × 41¹
LCM(78714,78720) = 1032727680