What is the Least Common Multiple of 43590 and 43609?

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 43590 and 43609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43590 and 43609, than apply into the LCM equation.

GCF(43590,43609) = 1
LCM(43590,43609) = ( 43590 × 43609) / 1
LCM(43590,43609) = 1900916310 / 1
LCM(43590,43609) = 1900916310

Least Common Multiple (LCM) of 43590 and 43609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43590 and 43609. First we will calculate the prime factors of 43590 and 43609.

Prime Factorization of 43590

Prime Factorization of 43609

Now multiplying the highest exponent prime factors to calculate the LCM of 43590 and 43609.

LCM(43590,43609) = 2¹ × 3¹ × 5¹ × 1453¹ × 43609¹
LCM(43590,43609) = 1900916310