What is the Least Common Multiple of 43105 and 43125?

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 43105 and 43125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43105 and 43125, than apply into the LCM equation.

GCF(43105,43125) = 5
LCM(43105,43125) = ( 43105 × 43125) / 5
LCM(43105,43125) = 1858903125 / 5
LCM(43105,43125) = 371780625

Least Common Multiple (LCM) of 43105 and 43125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43105 and 43125. First we will calculate the prime factors of 43105 and 43125.

Prime Factorization of 43105

Prime Factorization of 43125

Now multiplying the highest exponent prime factors to calculate the LCM of 43105 and 43125.

LCM(43105,43125) = 5⁴ × 37¹ × 233¹ × 3¹ × 23¹
LCM(43105,43125) = 371780625