What is the Least Common Multiple of 87154 and 87166?

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 87154 and 87166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87154 and 87166, than apply into the LCM equation.

GCF(87154,87166) = 2
LCM(87154,87166) = ( 87154 × 87166) / 2
LCM(87154,87166) = 7596865564 / 2
LCM(87154,87166) = 3798432782

Least Common Multiple (LCM) of 87154 and 87166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87154 and 87166. First we will calculate the prime factors of 87154 and 87166.

Prime Factorization of 87154

Prime Factorization of 87166

Now multiplying the highest exponent prime factors to calculate the LCM of 87154 and 87166.

LCM(87154,87166) = 2¹ × 43577¹ × 41¹ × 1063¹
LCM(87154,87166) = 3798432782