What is the Least Common Multiple of 87311 and 87318?

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 87311 and 87318 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87311 and 87318, than apply into the LCM equation.

GCF(87311,87318) = 7
LCM(87311,87318) = ( 87311 × 87318) / 7
LCM(87311,87318) = 7623821898 / 7
LCM(87311,87318) = 1089117414

Least Common Multiple (LCM) of 87311 and 87318 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87311 and 87318. First we will calculate the prime factors of 87311 and 87318.

Prime Factorization of 87311

Prime Factorization of 87318

Now multiplying the highest exponent prime factors to calculate the LCM of 87311 and 87318.

LCM(87311,87318) = 7² × 12473¹ × 2¹ × 3⁴ × 11¹
LCM(87311,87318) = 1089117414