What is the Least Common Multiple of 81045 and 81065?

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 81045 and 81065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81045 and 81065, than apply into the LCM equation.

GCF(81045,81065) = 5
LCM(81045,81065) = ( 81045 × 81065) / 5
LCM(81045,81065) = 6569912925 / 5
LCM(81045,81065) = 1313982585

Least Common Multiple (LCM) of 81045 and 81065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81045 and 81065. First we will calculate the prime factors of 81045 and 81065.

Prime Factorization of 81045

Prime Factorization of 81065

Now multiplying the highest exponent prime factors to calculate the LCM of 81045 and 81065.

LCM(81045,81065) = 3² × 5¹ × 1801¹ × 31¹ × 523¹
LCM(81045,81065) = 1313982585