What is the Least Common Multiple of 28808 and 28814?

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 28808 and 28814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28808 and 28814, than apply into the LCM equation.

GCF(28808,28814) = 2
LCM(28808,28814) = ( 28808 × 28814) / 2
LCM(28808,28814) = 830073712 / 2
LCM(28808,28814) = 415036856

Least Common Multiple (LCM) of 28808 and 28814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28808 and 28814. First we will calculate the prime factors of 28808 and 28814.

Prime Factorization of 28808

Prime Factorization of 28814

Now multiplying the highest exponent prime factors to calculate the LCM of 28808 and 28814.

LCM(28808,28814) = 2³ × 13¹ × 277¹ × 14407¹
LCM(28808,28814) = 415036856