What is the Least Common Multiple of 43005 and 43015?

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 43005 and 43015 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43005 and 43015, than apply into the LCM equation.

GCF(43005,43015) = 5
LCM(43005,43015) = ( 43005 × 43015) / 5
LCM(43005,43015) = 1849860075 / 5
LCM(43005,43015) = 369972015

Least Common Multiple (LCM) of 43005 and 43015 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43005 and 43015. First we will calculate the prime factors of 43005 and 43015.

Prime Factorization of 43005

Prime Factorization of 43015

Now multiplying the highest exponent prime factors to calculate the LCM of 43005 and 43015.

LCM(43005,43015) = 3¹ × 5¹ × 47¹ × 61¹ × 7¹ × 1229¹
LCM(43005,43015) = 369972015