What is the Least Common Multiple of 35649 and 35664?

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 35649 and 35664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35649 and 35664, than apply into the LCM equation.

GCF(35649,35664) = 3
LCM(35649,35664) = ( 35649 × 35664) / 3
LCM(35649,35664) = 1271385936 / 3
LCM(35649,35664) = 423795312

Least Common Multiple (LCM) of 35649 and 35664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35649 and 35664. First we will calculate the prime factors of 35649 and 35664.

Prime Factorization of 35649

Prime Factorization of 35664

Now multiplying the highest exponent prime factors to calculate the LCM of 35649 and 35664.

LCM(35649,35664) = 3² × 17¹ × 233¹ × 2⁴ × 743¹
LCM(35649,35664) = 423795312