What is the Least Common Multiple of 43644 and 43659?

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 43644 and 43659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43644 and 43659, than apply into the LCM equation.

GCF(43644,43659) = 3
LCM(43644,43659) = ( 43644 × 43659) / 3
LCM(43644,43659) = 1905453396 / 3
LCM(43644,43659) = 635151132

Least Common Multiple (LCM) of 43644 and 43659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43644 and 43659. First we will calculate the prime factors of 43644 and 43659.

Prime Factorization of 43644

Prime Factorization of 43659

Now multiplying the highest exponent prime factors to calculate the LCM of 43644 and 43659.

LCM(43644,43659) = 2² × 3⁴ × 3637¹ × 7² × 11¹
LCM(43644,43659) = 635151132