What is the Least Common Multiple of 87294 and 87299?

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 87299 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 87299, than apply into the LCM equation.

GCF(87294,87299) = 1
LCM(87294,87299) = ( 87294 × 87299) / 1
LCM(87294,87299) = 7620678906 / 1
LCM(87294,87299) = 7620678906

Least Common Multiple (LCM) of 87294 and 87299 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87294 and 87299. First we will calculate the prime factors of 87294 and 87299.

Prime Factorization of 87294

Prime Factorization of 87299

Now multiplying the highest exponent prime factors to calculate the LCM of 87294 and 87299.

LCM(87294,87299) = 2¹ × 3¹ × 14549¹ × 87299¹
LCM(87294,87299) = 7620678906