What is the Least Common Multiple of 43665 and 43671?

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 43665 and 43671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43665 and 43671, than apply into the LCM equation.

GCF(43665,43671) = 3
LCM(43665,43671) = ( 43665 × 43671) / 3
LCM(43665,43671) = 1906894215 / 3
LCM(43665,43671) = 635631405

Least Common Multiple (LCM) of 43665 and 43671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43665 and 43671. First we will calculate the prime factors of 43665 and 43671.

Prime Factorization of 43665

Prime Factorization of 43671

Now multiplying the highest exponent prime factors to calculate the LCM of 43665 and 43671.

LCM(43665,43671) = 3¹ × 5¹ × 41¹ × 71¹ × 14557¹
LCM(43665,43671) = 635631405