What is the Least Common Multiple of 82108 and 82120?

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 82108 and 82120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82108 and 82120, than apply into the LCM equation.

GCF(82108,82120) = 4
LCM(82108,82120) = ( 82108 × 82120) / 4
LCM(82108,82120) = 6742708960 / 4
LCM(82108,82120) = 1685677240

Least Common Multiple (LCM) of 82108 and 82120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82108 and 82120. First we will calculate the prime factors of 82108 and 82120.

Prime Factorization of 82108

Prime Factorization of 82120

Now multiplying the highest exponent prime factors to calculate the LCM of 82108 and 82120.

LCM(82108,82120) = 2³ × 13¹ × 1579¹ × 5¹ × 2053¹
LCM(82108,82120) = 1685677240