What is the Least Common Multiple of 43548 and 43563?

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 43548 and 43563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43548 and 43563, than apply into the LCM equation.

GCF(43548,43563) = 3
LCM(43548,43563) = ( 43548 × 43563) / 3
LCM(43548,43563) = 1897081524 / 3
LCM(43548,43563) = 632360508

Least Common Multiple (LCM) of 43548 and 43563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43548 and 43563. First we will calculate the prime factors of 43548 and 43563.

Prime Factorization of 43548

Prime Factorization of 43563

Now multiplying the highest exponent prime factors to calculate the LCM of 43548 and 43563.

LCM(43548,43563) = 2² × 3¹ × 19¹ × 191¹ × 13¹ × 1117¹
LCM(43548,43563) = 632360508