What is the Least Common Multiple of 81145 and 81165?

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 81145 and 81165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81145 and 81165, than apply into the LCM equation.

GCF(81145,81165) = 5
LCM(81145,81165) = ( 81145 × 81165) / 5
LCM(81145,81165) = 6586133925 / 5
LCM(81145,81165) = 1317226785

Least Common Multiple (LCM) of 81145 and 81165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81145 and 81165. First we will calculate the prime factors of 81145 and 81165.

Prime Factorization of 81145

Prime Factorization of 81165

Now multiplying the highest exponent prime factors to calculate the LCM of 81145 and 81165.

LCM(81145,81165) = 5¹ × 16229¹ × 3¹ × 7¹ × 773¹
LCM(81145,81165) = 1317226785