What is the Least Common Multiple of 34548 and 34563?

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 34548 and 34563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34548 and 34563, than apply into the LCM equation.

GCF(34548,34563) = 3
LCM(34548,34563) = ( 34548 × 34563) / 3
LCM(34548,34563) = 1194082524 / 3
LCM(34548,34563) = 398027508

Least Common Multiple (LCM) of 34548 and 34563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34548 and 34563. First we will calculate the prime factors of 34548 and 34563.

Prime Factorization of 34548

Prime Factorization of 34563

Now multiplying the highest exponent prime factors to calculate the LCM of 34548 and 34563.

LCM(34548,34563) = 2² × 3¹ × 2879¹ × 41¹ × 281¹
LCM(34548,34563) = 398027508