What is the Least Common Multiple of 43131 and 43146?

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 43131 and 43146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43131 and 43146, than apply into the LCM equation.

GCF(43131,43146) = 3
LCM(43131,43146) = ( 43131 × 43146) / 3
LCM(43131,43146) = 1860930126 / 3
LCM(43131,43146) = 620310042

Least Common Multiple (LCM) of 43131 and 43146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43131 and 43146. First we will calculate the prime factors of 43131 and 43146.

Prime Factorization of 43131

Prime Factorization of 43146

Now multiplying the highest exponent prime factors to calculate the LCM of 43131 and 43146.

LCM(43131,43146) = 3³ × 11¹ × 1307¹ × 2¹ × 17¹ × 47¹
LCM(43131,43146) = 620310042