What is the Least Common Multiple of 83541 and 83547?

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 83541 and 83547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83541 and 83547, than apply into the LCM equation.

GCF(83541,83547) = 3
LCM(83541,83547) = ( 83541 × 83547) / 3
LCM(83541,83547) = 6979599927 / 3
LCM(83541,83547) = 2326533309

Least Common Multiple (LCM) of 83541 and 83547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83541 and 83547. First we will calculate the prime factors of 83541 and 83547.

Prime Factorization of 83541

Prime Factorization of 83547

Now multiplying the highest exponent prime factors to calculate the LCM of 83541 and 83547.

LCM(83541,83547) = 3² × 27847¹ × 9283¹
LCM(83541,83547) = 2326533309