What is the Least Common Multiple of 82125 and 82138?

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 82125 and 82138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82125 and 82138, than apply into the LCM equation.

GCF(82125,82138) = 1
LCM(82125,82138) = ( 82125 × 82138) / 1
LCM(82125,82138) = 6745583250 / 1
LCM(82125,82138) = 6745583250

Least Common Multiple (LCM) of 82125 and 82138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82125 and 82138. First we will calculate the prime factors of 82125 and 82138.

Prime Factorization of 82125

Prime Factorization of 82138

Now multiplying the highest exponent prime factors to calculate the LCM of 82125 and 82138.

LCM(82125,82138) = 3² × 5³ × 73¹ × 2¹ × 7¹ × 5867¹
LCM(82125,82138) = 6745583250