What is the Least Common Multiple of 43080 and 43086?

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 43080 and 43086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43080 and 43086, than apply into the LCM equation.

GCF(43080,43086) = 6
LCM(43080,43086) = ( 43080 × 43086) / 6
LCM(43080,43086) = 1856144880 / 6
LCM(43080,43086) = 309357480

Least Common Multiple (LCM) of 43080 and 43086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43080 and 43086. First we will calculate the prime factors of 43080 and 43086.

Prime Factorization of 43080

Prime Factorization of 43086

Now multiplying the highest exponent prime factors to calculate the LCM of 43080 and 43086.

LCM(43080,43086) = 2³ × 3¹ × 5¹ × 359¹ × 43¹ × 167¹
LCM(43080,43086) = 309357480