What is the Least Common Multiple of 43545 and 43555?

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 43545 and 43555 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43545 and 43555, than apply into the LCM equation.

GCF(43545,43555) = 5
LCM(43545,43555) = ( 43545 × 43555) / 5
LCM(43545,43555) = 1896602475 / 5
LCM(43545,43555) = 379320495

Least Common Multiple (LCM) of 43545 and 43555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43545 and 43555. First we will calculate the prime factors of 43545 and 43555.

Prime Factorization of 43545

Prime Factorization of 43555

Now multiplying the highest exponent prime factors to calculate the LCM of 43545 and 43555.

LCM(43545,43555) = 3¹ × 5¹ × 2903¹ × 31¹ × 281¹
LCM(43545,43555) = 379320495