What is the Least Common Multiple of 81105 and 81125?

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 81105 and 81125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81105 and 81125, than apply into the LCM equation.

GCF(81105,81125) = 5
LCM(81105,81125) = ( 81105 × 81125) / 5
LCM(81105,81125) = 6579643125 / 5
LCM(81105,81125) = 1315928625

Least Common Multiple (LCM) of 81105 and 81125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81105 and 81125. First we will calculate the prime factors of 81105 and 81125.

Prime Factorization of 81105

Prime Factorization of 81125

Now multiplying the highest exponent prime factors to calculate the LCM of 81105 and 81125.

LCM(81105,81125) = 3¹ × 5³ × 5407¹ × 11¹ × 59¹
LCM(81105,81125) = 1315928625