What is the Least Common Multiple of 71616 and 71634?

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 71616 and 71634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71616 and 71634, than apply into the LCM equation.

GCF(71616,71634) = 6
LCM(71616,71634) = ( 71616 × 71634) / 6
LCM(71616,71634) = 5130140544 / 6
LCM(71616,71634) = 855023424

Least Common Multiple (LCM) of 71616 and 71634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71616 and 71634. First we will calculate the prime factors of 71616 and 71634.

Prime Factorization of 71616

Prime Factorization of 71634

Now multiplying the highest exponent prime factors to calculate the LCM of 71616 and 71634.

LCM(71616,71634) = 2⁶ × 3¹ × 373¹ × 11939¹
LCM(71616,71634) = 855023424