What is the Least Common Multiple of 43066 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 43066 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 43066 and 43086, than apply into the LCM equation.

GCF(43066,43086) = 2
LCM(43066,43086) = ( 43066 × 43086) / 2
LCM(43066,43086) = 1855541676 / 2
LCM(43066,43086) = 927770838

Least Common Multiple (LCM) of 43066 and 43086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43066 and 43086. First we will calculate the prime factors of 43066 and 43086.

Prime Factorization of 43066

Prime Factorization of 43086

Now multiplying the highest exponent prime factors to calculate the LCM of 43066 and 43086.

LCM(43066,43086) = 2¹ × 61¹ × 353¹ × 3¹ × 43¹ × 167¹
LCM(43066,43086) = 927770838