What is the Least Common Multiple of 71712 and 71721?

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 71712 and 71721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71712 and 71721, than apply into the LCM equation.

GCF(71712,71721) = 9
LCM(71712,71721) = ( 71712 × 71721) / 9
LCM(71712,71721) = 5143256352 / 9
LCM(71712,71721) = 571472928

Least Common Multiple (LCM) of 71712 and 71721 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71712 and 71721. First we will calculate the prime factors of 71712 and 71721.

Prime Factorization of 71712

Prime Factorization of 71721

Now multiplying the highest exponent prime factors to calculate the LCM of 71712 and 71721.

LCM(71712,71721) = 2⁵ × 3³ × 83¹ × 13¹ × 613¹
LCM(71712,71721) = 571472928