What is the Least Common Multiple of 43500 and 43518?

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 43500 and 43518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43500 and 43518, than apply into the LCM equation.

GCF(43500,43518) = 6
LCM(43500,43518) = ( 43500 × 43518) / 6
LCM(43500,43518) = 1893033000 / 6
LCM(43500,43518) = 315505500

Least Common Multiple (LCM) of 43500 and 43518 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43500 and 43518. First we will calculate the prime factors of 43500 and 43518.

Prime Factorization of 43500

Prime Factorization of 43518

Now multiplying the highest exponent prime factors to calculate the LCM of 43500 and 43518.

LCM(43500,43518) = 2² × 3¹ × 5³ × 29¹ × 7253¹
LCM(43500,43518) = 315505500