What is the Least Common Multiple of 82151 and 82166?

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 82151 and 82166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82151 and 82166, than apply into the LCM equation.

GCF(82151,82166) = 1
LCM(82151,82166) = ( 82151 × 82166) / 1
LCM(82151,82166) = 6750019066 / 1
LCM(82151,82166) = 6750019066

Least Common Multiple (LCM) of 82151 and 82166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82151 and 82166. First we will calculate the prime factors of 82151 and 82166.

Prime Factorization of 82151

Prime Factorization of 82166

Now multiplying the highest exponent prime factors to calculate the LCM of 82151 and 82166.

LCM(82151,82166) = 113¹ × 727¹ × 2¹ × 7¹ × 5869¹
LCM(82151,82166) = 6750019066