What is the Least Common Multiple of 43275 and 43287?

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 43275 and 43287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43275 and 43287, than apply into the LCM equation.

GCF(43275,43287) = 3
LCM(43275,43287) = ( 43275 × 43287) / 3
LCM(43275,43287) = 1873244925 / 3
LCM(43275,43287) = 624414975

Least Common Multiple (LCM) of 43275 and 43287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43275 and 43287. First we will calculate the prime factors of 43275 and 43287.

Prime Factorization of 43275

Prime Factorization of 43287

Now multiplying the highest exponent prime factors to calculate the LCM of 43275 and 43287.

LCM(43275,43287) = 3¹ × 5² × 577¹ × 47¹ × 307¹
LCM(43275,43287) = 624414975