What is the Least Common Multiple of 28802 and 28808?

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 28802 and 28808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28802 and 28808, than apply into the LCM equation.

GCF(28802,28808) = 2
LCM(28802,28808) = ( 28802 × 28808) / 2
LCM(28802,28808) = 829728016 / 2
LCM(28802,28808) = 414864008

Least Common Multiple (LCM) of 28802 and 28808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28802 and 28808. First we will calculate the prime factors of 28802 and 28808.

Prime Factorization of 28802

Prime Factorization of 28808

Now multiplying the highest exponent prime factors to calculate the LCM of 28802 and 28808.

LCM(28802,28808) = 2³ × 14401¹ × 13¹ × 277¹
LCM(28802,28808) = 414864008