What is the Least Common Multiple of 8151 and 8166?

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 8151 and 8166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8151 and 8166, than apply into the LCM equation.

GCF(8151,8166) = 3
LCM(8151,8166) = ( 8151 × 8166) / 3
LCM(8151,8166) = 66561066 / 3
LCM(8151,8166) = 22187022

Least Common Multiple (LCM) of 8151 and 8166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8151 and 8166. First we will calculate the prime factors of 8151 and 8166.

Prime Factorization of 8151

Prime Factorization of 8166

Now multiplying the highest exponent prime factors to calculate the LCM of 8151 and 8166.

LCM(8151,8166) = 3¹ × 11¹ × 13¹ × 19¹ × 2¹ × 1361¹
LCM(8151,8166) = 22187022