What is the Least Common Multiple of 43075 and 43081?

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 43075 and 43081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43075 and 43081, than apply into the LCM equation.

GCF(43075,43081) = 1
LCM(43075,43081) = ( 43075 × 43081) / 1
LCM(43075,43081) = 1855714075 / 1
LCM(43075,43081) = 1855714075

Least Common Multiple (LCM) of 43075 and 43081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43075 and 43081. First we will calculate the prime factors of 43075 and 43081.

Prime Factorization of 43075

Prime Factorization of 43081

Now multiplying the highest exponent prime factors to calculate the LCM of 43075 and 43081.

LCM(43075,43081) = 5² × 1723¹ × 67¹ × 643¹
LCM(43075,43081) = 1855714075