What is the Least Common Multiple of 81582 and 81596?

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 81596 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 81596, than apply into the LCM equation.

GCF(81582,81596) = 2
LCM(81582,81596) = ( 81582 × 81596) / 2
LCM(81582,81596) = 6656764872 / 2
LCM(81582,81596) = 3328382436

Least Common Multiple (LCM) of 81582 and 81596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81582 and 81596. First we will calculate the prime factors of 81582 and 81596.

Prime Factorization of 81582

Prime Factorization of 81596

Now multiplying the highest exponent prime factors to calculate the LCM of 81582 and 81596.

LCM(81582,81596) = 2² × 3¹ × 13597¹ × 20399¹
LCM(81582,81596) = 3328382436