What is the Least Common Multiple of 75654 and 75664?

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 75654 and 75664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75654 and 75664, than apply into the LCM equation.

GCF(75654,75664) = 2
LCM(75654,75664) = ( 75654 × 75664) / 2
LCM(75654,75664) = 5724284256 / 2
LCM(75654,75664) = 2862142128

Least Common Multiple (LCM) of 75654 and 75664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75654 and 75664. First we will calculate the prime factors of 75654 and 75664.

Prime Factorization of 75654

Prime Factorization of 75664

Now multiplying the highest exponent prime factors to calculate the LCM of 75654 and 75664.

LCM(75654,75664) = 2⁴ × 3⁴ × 467¹ × 4729¹
LCM(75654,75664) = 2862142128