What is the Least Common Multiple of 87804 and 87809?

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 87804 and 87809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87804 and 87809, than apply into the LCM equation.

GCF(87804,87809) = 1
LCM(87804,87809) = ( 87804 × 87809) / 1
LCM(87804,87809) = 7709981436 / 1
LCM(87804,87809) = 7709981436

Least Common Multiple (LCM) of 87804 and 87809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87804 and 87809. First we will calculate the prime factors of 87804 and 87809.

Prime Factorization of 87804

Prime Factorization of 87809

Now multiplying the highest exponent prime factors to calculate the LCM of 87804 and 87809.

LCM(87804,87809) = 2² × 3⁴ × 271¹ × 277¹ × 317¹
LCM(87804,87809) = 7709981436