What is the Least Common Multiple of 87582 and 87591?

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 87582 and 87591 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87582 and 87591, than apply into the LCM equation.

GCF(87582,87591) = 3
LCM(87582,87591) = ( 87582 × 87591) / 3
LCM(87582,87591) = 7671394962 / 3
LCM(87582,87591) = 2557131654

Least Common Multiple (LCM) of 87582 and 87591 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87582 and 87591. First we will calculate the prime factors of 87582 and 87591.

Prime Factorization of 87582

Prime Factorization of 87591

Now multiplying the highest exponent prime factors to calculate the LCM of 87582 and 87591.

LCM(87582,87591) = 2¹ × 3¹ × 11¹ × 1327¹ × 7¹ × 43¹ × 97¹
LCM(87582,87591) = 2557131654