What is the Least Common Multiple of 34409 and 34423?

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 34409 and 34423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34409 and 34423, than apply into the LCM equation.

GCF(34409,34423) = 1
LCM(34409,34423) = ( 34409 × 34423) / 1
LCM(34409,34423) = 1184461007 / 1
LCM(34409,34423) = 1184461007

Least Common Multiple (LCM) of 34409 and 34423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34409 and 34423. First we will calculate the prime factors of 34409 and 34423.

Prime Factorization of 34409

Prime Factorization of 34423

Now multiplying the highest exponent prime factors to calculate the LCM of 34409 and 34423.

LCM(34409,34423) = 19¹ × 1811¹ × 29¹ × 1187¹
LCM(34409,34423) = 1184461007