What is the Least Common Multiple of 65112 and 65127?

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 65112 and 65127 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65112 and 65127, than apply into the LCM equation.

GCF(65112,65127) = 3
LCM(65112,65127) = ( 65112 × 65127) / 3
LCM(65112,65127) = 4240549224 / 3
LCM(65112,65127) = 1413516408

Least Common Multiple (LCM) of 65112 and 65127 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65112 and 65127. First we will calculate the prime factors of 65112 and 65127.

Prime Factorization of 65112

Prime Factorization of 65127

Now multiplying the highest exponent prime factors to calculate the LCM of 65112 and 65127.

LCM(65112,65127) = 2³ × 3¹ × 2713¹ × 17¹ × 1277¹
LCM(65112,65127) = 1413516408