What is the Least Common Multiple of 34539 and 34548?

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 34539 and 34548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34539 and 34548, than apply into the LCM equation.

GCF(34539,34548) = 3
LCM(34539,34548) = ( 34539 × 34548) / 3
LCM(34539,34548) = 1193253372 / 3
LCM(34539,34548) = 397751124

Least Common Multiple (LCM) of 34539 and 34548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34539 and 34548. First we will calculate the prime factors of 34539 and 34548.

Prime Factorization of 34539

Prime Factorization of 34548

Now multiplying the highest exponent prime factors to calculate the LCM of 34539 and 34548.

LCM(34539,34548) = 3¹ × 29¹ × 397¹ × 2² × 2879¹
LCM(34539,34548) = 397751124