What is the Least Common Multiple of 81582 and 81597?

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 81582 and 81597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81582 and 81597, than apply into the LCM equation.

GCF(81582,81597) = 3
LCM(81582,81597) = ( 81582 × 81597) / 3
LCM(81582,81597) = 6656846454 / 3
LCM(81582,81597) = 2218948818

Least Common Multiple (LCM) of 81582 and 81597 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81582 and 81597. First we will calculate the prime factors of 81582 and 81597.

Prime Factorization of 81582

Prime Factorization of 81597

Now multiplying the highest exponent prime factors to calculate the LCM of 81582 and 81597.

LCM(81582,81597) = 2¹ × 3¹ × 13597¹ × 59¹ × 461¹
LCM(81582,81597) = 2218948818