What is the Least Common Multiple of 43260 and 43275?

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 43260 and 43275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43260 and 43275, than apply into the LCM equation.

GCF(43260,43275) = 15
LCM(43260,43275) = ( 43260 × 43275) / 15
LCM(43260,43275) = 1872076500 / 15
LCM(43260,43275) = 124805100

Least Common Multiple (LCM) of 43260 and 43275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43260 and 43275. First we will calculate the prime factors of 43260 and 43275.

Prime Factorization of 43260

Prime Factorization of 43275

Now multiplying the highest exponent prime factors to calculate the LCM of 43260 and 43275.

LCM(43260,43275) = 2² × 3¹ × 5² × 7¹ × 103¹ × 577¹
LCM(43260,43275) = 124805100