What is the Least Common Multiple of 82077 and 82095?

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 82077 and 82095 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82077 and 82095, than apply into the LCM equation.

GCF(82077,82095) = 3
LCM(82077,82095) = ( 82077 × 82095) / 3
LCM(82077,82095) = 6738111315 / 3
LCM(82077,82095) = 2246037105

Least Common Multiple (LCM) of 82077 and 82095 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82077 and 82095. First we will calculate the prime factors of 82077 and 82095.

Prime Factorization of 82077

Prime Factorization of 82095

Now multiplying the highest exponent prime factors to calculate the LCM of 82077 and 82095.

LCM(82077,82095) = 3¹ × 109¹ × 251¹ × 5¹ × 13¹ × 421¹
LCM(82077,82095) = 2246037105