What is the Least Common Multiple of 53654 and 53664?

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 53654 and 53664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53654 and 53664, than apply into the LCM equation.

GCF(53654,53664) = 2
LCM(53654,53664) = ( 53654 × 53664) / 2
LCM(53654,53664) = 2879288256 / 2
LCM(53654,53664) = 1439644128

Least Common Multiple (LCM) of 53654 and 53664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53654 and 53664. First we will calculate the prime factors of 53654 and 53664.

Prime Factorization of 53654

Prime Factorization of 53664

Now multiplying the highest exponent prime factors to calculate the LCM of 53654 and 53664.

LCM(53654,53664) = 2⁵ × 139¹ × 193¹ × 3¹ × 13¹ × 43¹
LCM(53654,53664) = 1439644128