What is the Least Common Multiple of 34314 and 34324?

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 34314 and 34324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34314 and 34324, than apply into the LCM equation.

GCF(34314,34324) = 2
LCM(34314,34324) = ( 34314 × 34324) / 2
LCM(34314,34324) = 1177793736 / 2
LCM(34314,34324) = 588896868

Least Common Multiple (LCM) of 34314 and 34324 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34314 and 34324. First we will calculate the prime factors of 34314 and 34324.

Prime Factorization of 34314

Prime Factorization of 34324

Now multiplying the highest exponent prime factors to calculate the LCM of 34314 and 34324.

LCM(34314,34324) = 2² × 3¹ × 7¹ × 19¹ × 43¹ × 8581¹
LCM(34314,34324) = 588896868