What is the Least Common Multiple of 43405 and 43423?

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 43405 and 43423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43405 and 43423, than apply into the LCM equation.

GCF(43405,43423) = 1
LCM(43405,43423) = ( 43405 × 43423) / 1
LCM(43405,43423) = 1884775315 / 1
LCM(43405,43423) = 1884775315

Least Common Multiple (LCM) of 43405 and 43423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43405 and 43423. First we will calculate the prime factors of 43405 and 43423.

Prime Factorization of 43405

Prime Factorization of 43423

Now multiplying the highest exponent prime factors to calculate the LCM of 43405 and 43423.

LCM(43405,43423) = 5¹ × 8681¹ × 173¹ × 251¹
LCM(43405,43423) = 1884775315