What is the Least Common Multiple of 87804 and 87808?

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 87808 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 87808, than apply into the LCM equation.

GCF(87804,87808) = 4
LCM(87804,87808) = ( 87804 × 87808) / 4
LCM(87804,87808) = 7709893632 / 4
LCM(87804,87808) = 1927473408

Least Common Multiple (LCM) of 87804 and 87808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87804 and 87808. First we will calculate the prime factors of 87804 and 87808.

Prime Factorization of 87804

Prime Factorization of 87808

Now multiplying the highest exponent prime factors to calculate the LCM of 87804 and 87808.

LCM(87804,87808) = 2⁸ × 3⁴ × 271¹ × 7³
LCM(87804,87808) = 1927473408