What is the Least Common Multiple of 43086 and 43104?

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 43086 and 43104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43086 and 43104, than apply into the LCM equation.

GCF(43086,43104) = 6
LCM(43086,43104) = ( 43086 × 43104) / 6
LCM(43086,43104) = 1857178944 / 6
LCM(43086,43104) = 309529824

Least Common Multiple (LCM) of 43086 and 43104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43086 and 43104. First we will calculate the prime factors of 43086 and 43104.

Prime Factorization of 43086

Prime Factorization of 43104

Now multiplying the highest exponent prime factors to calculate the LCM of 43086 and 43104.

LCM(43086,43104) = 2⁵ × 3¹ × 43¹ × 167¹ × 449¹
LCM(43086,43104) = 309529824