What is the Least Common Multiple of 43788 and 43808?

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 43788 and 43808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43788 and 43808, than apply into the LCM equation.

GCF(43788,43808) = 4
LCM(43788,43808) = ( 43788 × 43808) / 4
LCM(43788,43808) = 1918264704 / 4
LCM(43788,43808) = 479566176

Least Common Multiple (LCM) of 43788 and 43808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43788 and 43808. First we will calculate the prime factors of 43788 and 43808.

Prime Factorization of 43788

Prime Factorization of 43808

Now multiplying the highest exponent prime factors to calculate the LCM of 43788 and 43808.

LCM(43788,43808) = 2⁵ × 3¹ × 41¹ × 89¹ × 37²
LCM(43788,43808) = 479566176