What is the Least Common Multiple of 23414 and 23429?

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 23414 and 23429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23414 and 23429, than apply into the LCM equation.

GCF(23414,23429) = 1
LCM(23414,23429) = ( 23414 × 23429) / 1
LCM(23414,23429) = 548566606 / 1
LCM(23414,23429) = 548566606

Least Common Multiple (LCM) of 23414 and 23429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23414 and 23429. First we will calculate the prime factors of 23414 and 23429.

Prime Factorization of 23414

Prime Factorization of 23429

Now multiplying the highest exponent prime factors to calculate the LCM of 23414 and 23429.

LCM(23414,23429) = 2¹ × 23¹ × 509¹ × 7¹ × 3347¹
LCM(23414,23429) = 548566606