What is the Least Common Multiple of 81175 and 81192?

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 81175 and 81192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81175 and 81192, than apply into the LCM equation.

GCF(81175,81192) = 17
LCM(81175,81192) = ( 81175 × 81192) / 17
LCM(81175,81192) = 6590760600 / 17
LCM(81175,81192) = 387691800

Least Common Multiple (LCM) of 81175 and 81192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81175 and 81192. First we will calculate the prime factors of 81175 and 81192.

Prime Factorization of 81175

Prime Factorization of 81192

Now multiplying the highest exponent prime factors to calculate the LCM of 81175 and 81192.

LCM(81175,81192) = 5² × 17¹ × 191¹ × 2³ × 3¹ × 199¹
LCM(81175,81192) = 387691800