What is the Least Common Multiple of 47808 and 47814?

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 47808 and 47814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47808 and 47814, than apply into the LCM equation.

GCF(47808,47814) = 6
LCM(47808,47814) = ( 47808 × 47814) / 6
LCM(47808,47814) = 2285891712 / 6
LCM(47808,47814) = 380981952

Least Common Multiple (LCM) of 47808 and 47814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47808 and 47814. First we will calculate the prime factors of 47808 and 47814.

Prime Factorization of 47808

Prime Factorization of 47814

Now multiplying the highest exponent prime factors to calculate the LCM of 47808 and 47814.

LCM(47808,47814) = 2⁶ × 3² × 83¹ × 13¹ × 613¹
LCM(47808,47814) = 380981952