What is the Least Common Multiple of 82539 and 82548?

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 82539 and 82548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82539 and 82548, than apply into the LCM equation.

GCF(82539,82548) = 9
LCM(82539,82548) = ( 82539 × 82548) / 9
LCM(82539,82548) = 6813429372 / 9
LCM(82539,82548) = 757047708

Least Common Multiple (LCM) of 82539 and 82548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82539 and 82548. First we will calculate the prime factors of 82539 and 82548.

Prime Factorization of 82539

Prime Factorization of 82548

Now multiplying the highest exponent prime factors to calculate the LCM of 82539 and 82548.

LCM(82539,82548) = 3⁴ × 1019¹ × 2² × 2293¹
LCM(82539,82548) = 757047708