What is the Least Common Multiple of 82725 and 82743?

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 82725 and 82743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82725 and 82743, than apply into the LCM equation.

GCF(82725,82743) = 3
LCM(82725,82743) = ( 82725 × 82743) / 3
LCM(82725,82743) = 6844914675 / 3
LCM(82725,82743) = 2281638225

Least Common Multiple (LCM) of 82725 and 82743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82725 and 82743. First we will calculate the prime factors of 82725 and 82743.

Prime Factorization of 82725

Prime Factorization of 82743

Now multiplying the highest exponent prime factors to calculate the LCM of 82725 and 82743.

LCM(82725,82743) = 3¹ × 5² × 1103¹ × 27581¹
LCM(82725,82743) = 2281638225