What is the Least Common Multiple of 81126 and 81145?

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 81126 and 81145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81126 and 81145, than apply into the LCM equation.

GCF(81126,81145) = 1
LCM(81126,81145) = ( 81126 × 81145) / 1
LCM(81126,81145) = 6582969270 / 1
LCM(81126,81145) = 6582969270

Least Common Multiple (LCM) of 81126 and 81145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81126 and 81145. First we will calculate the prime factors of 81126 and 81145.

Prime Factorization of 81126

Prime Factorization of 81145

Now multiplying the highest exponent prime factors to calculate the LCM of 81126 and 81145.

LCM(81126,81145) = 2¹ × 3² × 4507¹ × 5¹ × 16229¹
LCM(81126,81145) = 6582969270