What is the Least Common Multiple of 81149 and 81168?

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 81149 and 81168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81149 and 81168, than apply into the LCM equation.

GCF(81149,81168) = 19
LCM(81149,81168) = ( 81149 × 81168) / 19
LCM(81149,81168) = 6586702032 / 19
LCM(81149,81168) = 346668528

Least Common Multiple (LCM) of 81149 and 81168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81149 and 81168. First we will calculate the prime factors of 81149 and 81168.

Prime Factorization of 81149

Prime Factorization of 81168

Now multiplying the highest exponent prime factors to calculate the LCM of 81149 and 81168.

LCM(81149,81168) = 19¹ × 4271¹ × 2⁴ × 3¹ × 89¹
LCM(81149,81168) = 346668528