What is the Least Common Multiple of 34414 and 34429?

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 34414 and 34429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34414 and 34429, than apply into the LCM equation.

GCF(34414,34429) = 1
LCM(34414,34429) = ( 34414 × 34429) / 1
LCM(34414,34429) = 1184839606 / 1
LCM(34414,34429) = 1184839606

Least Common Multiple (LCM) of 34414 and 34429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34414 and 34429. First we will calculate the prime factors of 34414 and 34429.

Prime Factorization of 34414

Prime Factorization of 34429

Now multiplying the highest exponent prime factors to calculate the LCM of 34414 and 34429.

LCM(34414,34429) = 2¹ × 17207¹ × 34429¹
LCM(34414,34429) = 1184839606