What is the Least Common Multiple of 82715 and 82725?

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 82715 and 82725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82715 and 82725, than apply into the LCM equation.

GCF(82715,82725) = 5
LCM(82715,82725) = ( 82715 × 82725) / 5
LCM(82715,82725) = 6842598375 / 5
LCM(82715,82725) = 1368519675

Least Common Multiple (LCM) of 82715 and 82725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82715 and 82725. First we will calculate the prime factors of 82715 and 82725.

Prime Factorization of 82715

Prime Factorization of 82725

Now multiplying the highest exponent prime factors to calculate the LCM of 82715 and 82725.

LCM(82715,82725) = 5² × 71¹ × 233¹ × 3¹ × 1103¹
LCM(82715,82725) = 1368519675