What is the Least Common Multiple of 82102 and 82110?

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 82102 and 82110 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82102 and 82110, than apply into the LCM equation.

GCF(82102,82110) = 2
LCM(82102,82110) = ( 82102 × 82110) / 2
LCM(82102,82110) = 6741395220 / 2
LCM(82102,82110) = 3370697610

Least Common Multiple (LCM) of 82102 and 82110 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82102 and 82110. First we will calculate the prime factors of 82102 and 82110.

Prime Factorization of 82102

Prime Factorization of 82110

Now multiplying the highest exponent prime factors to calculate the LCM of 82102 and 82110.

LCM(82102,82110) = 2¹ × 41051¹ × 3¹ × 5¹ × 7¹ × 17¹ × 23¹
LCM(82102,82110) = 3370697610