What is the Least Common Multiple of 81275 and 81285?

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 81275 and 81285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81275 and 81285, than apply into the LCM equation.

GCF(81275,81285) = 5
LCM(81275,81285) = ( 81275 × 81285) / 5
LCM(81275,81285) = 6606438375 / 5
LCM(81275,81285) = 1321287675

Least Common Multiple (LCM) of 81275 and 81285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81275 and 81285. First we will calculate the prime factors of 81275 and 81285.

Prime Factorization of 81275

Prime Factorization of 81285

Now multiplying the highest exponent prime factors to calculate the LCM of 81275 and 81285.

LCM(81275,81285) = 5² × 3251¹ × 3¹ × 5419¹
LCM(81275,81285) = 1321287675