What is the Least Common Multiple of 81105 and 81120?

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 81120 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 81120, than apply into the LCM equation.

GCF(81105,81120) = 15
LCM(81105,81120) = ( 81105 × 81120) / 15
LCM(81105,81120) = 6579237600 / 15
LCM(81105,81120) = 438615840

Least Common Multiple (LCM) of 81105 and 81120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81105 and 81120. First we will calculate the prime factors of 81105 and 81120.

Prime Factorization of 81105

Prime Factorization of 81120

Now multiplying the highest exponent prime factors to calculate the LCM of 81105 and 81120.

LCM(81105,81120) = 3¹ × 5¹ × 5407¹ × 2⁵ × 13²
LCM(81105,81120) = 438615840