What is the Least Common Multiple of 81305 and 81325?

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 81305 and 81325 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81305 and 81325, than apply into the LCM equation.

GCF(81305,81325) = 5
LCM(81305,81325) = ( 81305 × 81325) / 5
LCM(81305,81325) = 6612129125 / 5
LCM(81305,81325) = 1322425825

Least Common Multiple (LCM) of 81305 and 81325 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81305 and 81325. First we will calculate the prime factors of 81305 and 81325.

Prime Factorization of 81305

Prime Factorization of 81325

Now multiplying the highest exponent prime factors to calculate the LCM of 81305 and 81325.

LCM(81305,81325) = 5² × 7¹ × 23¹ × 101¹ × 3253¹
LCM(81305,81325) = 1322425825