What is the Least Common Multiple of 43509 and 43524?

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 43509 and 43524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43509 and 43524, than apply into the LCM equation.

GCF(43509,43524) = 3
LCM(43509,43524) = ( 43509 × 43524) / 3
LCM(43509,43524) = 1893685716 / 3
LCM(43509,43524) = 631228572

Least Common Multiple (LCM) of 43509 and 43524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43509 and 43524. First we will calculate the prime factors of 43509 and 43524.

Prime Factorization of 43509

Prime Factorization of 43524

Now multiplying the highest exponent prime factors to calculate the LCM of 43509 and 43524.

LCM(43509,43524) = 3³ × 14503¹ × 2² × 13¹ × 31¹
LCM(43509,43524) = 631228572