What is the Least Common Multiple of 43125 and 43131?

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 43125 and 43131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43125 and 43131, than apply into the LCM equation.

GCF(43125,43131) = 3
LCM(43125,43131) = ( 43125 × 43131) / 3
LCM(43125,43131) = 1860024375 / 3
LCM(43125,43131) = 620008125

Least Common Multiple (LCM) of 43125 and 43131 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43125 and 43131. First we will calculate the prime factors of 43125 and 43131.

Prime Factorization of 43125

Prime Factorization of 43131

Now multiplying the highest exponent prime factors to calculate the LCM of 43125 and 43131.

LCM(43125,43131) = 3¹ × 5⁴ × 23¹ × 11¹ × 1307¹
LCM(43125,43131) = 620008125