What is the Least Common Multiple of 87294 and 87306?

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 87294 and 87306 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87294 and 87306, than apply into the LCM equation.

GCF(87294,87306) = 6
LCM(87294,87306) = ( 87294 × 87306) / 6
LCM(87294,87306) = 7621289964 / 6
LCM(87294,87306) = 1270214994

Least Common Multiple (LCM) of 87294 and 87306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87294 and 87306. First we will calculate the prime factors of 87294 and 87306.

Prime Factorization of 87294

Prime Factorization of 87306

Now multiplying the highest exponent prime factors to calculate the LCM of 87294 and 87306.

LCM(87294,87306) = 2¹ × 3¹ × 14549¹ × 14551¹
LCM(87294,87306) = 1270214994