What is the Least Common Multiple of 81605 and 81625?

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 81605 and 81625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81605 and 81625, than apply into the LCM equation.

GCF(81605,81625) = 5
LCM(81605,81625) = ( 81605 × 81625) / 5
LCM(81605,81625) = 6661008125 / 5
LCM(81605,81625) = 1332201625

Least Common Multiple (LCM) of 81605 and 81625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81605 and 81625. First we will calculate the prime factors of 81605 and 81625.

Prime Factorization of 81605

Prime Factorization of 81625

Now multiplying the highest exponent prime factors to calculate the LCM of 81605 and 81625.

LCM(81605,81625) = 5³ × 19¹ × 859¹ × 653¹
LCM(81605,81625) = 1332201625