What is the Least Common Multiple of 43209 and 43215?

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 43209 and 43215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43209 and 43215, than apply into the LCM equation.

GCF(43209,43215) = 3
LCM(43209,43215) = ( 43209 × 43215) / 3
LCM(43209,43215) = 1867276935 / 3
LCM(43209,43215) = 622425645

Least Common Multiple (LCM) of 43209 and 43215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43209 and 43215. First we will calculate the prime factors of 43209 and 43215.

Prime Factorization of 43209

Prime Factorization of 43215

Now multiplying the highest exponent prime factors to calculate the LCM of 43209 and 43215.

LCM(43209,43215) = 3² × 4801¹ × 5¹ × 43¹ × 67¹
LCM(43209,43215) = 622425645