What is the Least Common Multiple of 81150 and 81158?

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 81150 and 81158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81150 and 81158, than apply into the LCM equation.

GCF(81150,81158) = 2
LCM(81150,81158) = ( 81150 × 81158) / 2
LCM(81150,81158) = 6585971700 / 2
LCM(81150,81158) = 3292985850

Least Common Multiple (LCM) of 81150 and 81158 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81150 and 81158. First we will calculate the prime factors of 81150 and 81158.

Prime Factorization of 81150

Prime Factorization of 81158

Now multiplying the highest exponent prime factors to calculate the LCM of 81150 and 81158.

LCM(81150,81158) = 2¹ × 3¹ × 5² × 541¹ × 7¹ × 11¹ × 17¹ × 31¹
LCM(81150,81158) = 3292985850