What is the Least Common Multiple of 72688 and 72706?

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 72688 and 72706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72688 and 72706, than apply into the LCM equation.

GCF(72688,72706) = 2
LCM(72688,72706) = ( 72688 × 72706) / 2
LCM(72688,72706) = 5284853728 / 2
LCM(72688,72706) = 2642426864

Least Common Multiple (LCM) of 72688 and 72706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72688 and 72706. First we will calculate the prime factors of 72688 and 72706.

Prime Factorization of 72688

Prime Factorization of 72706

Now multiplying the highest exponent prime factors to calculate the LCM of 72688 and 72706.

LCM(72688,72706) = 2⁴ × 7¹ × 11¹ × 59¹ × 36353¹
LCM(72688,72706) = 2642426864