What is the Least Common Multiple of 43632 and 43649?

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 43632 and 43649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43632 and 43649, than apply into the LCM equation.

GCF(43632,43649) = 1
LCM(43632,43649) = ( 43632 × 43649) / 1
LCM(43632,43649) = 1904493168 / 1
LCM(43632,43649) = 1904493168

Least Common Multiple (LCM) of 43632 and 43649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43632 and 43649. First we will calculate the prime factors of 43632 and 43649.

Prime Factorization of 43632

Prime Factorization of 43649

Now multiplying the highest exponent prime factors to calculate the LCM of 43632 and 43649.

LCM(43632,43649) = 2⁴ × 3³ × 101¹ × 43649¹
LCM(43632,43649) = 1904493168