What is the Least Common Multiple of 79688 and 79706?

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 79688 and 79706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79688 and 79706, than apply into the LCM equation.

GCF(79688,79706) = 2
LCM(79688,79706) = ( 79688 × 79706) / 2
LCM(79688,79706) = 6351611728 / 2
LCM(79688,79706) = 3175805864

Least Common Multiple (LCM) of 79688 and 79706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79688 and 79706. First we will calculate the prime factors of 79688 and 79706.

Prime Factorization of 79688

Prime Factorization of 79706

Now multiplying the highest exponent prime factors to calculate the LCM of 79688 and 79706.

LCM(79688,79706) = 2³ × 7¹ × 1423¹ × 11¹ × 3623¹
LCM(79688,79706) = 3175805864