What is the Least Common Multiple of 34354 and 34364?

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 34354 and 34364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34354 and 34364, than apply into the LCM equation.

GCF(34354,34364) = 2
LCM(34354,34364) = ( 34354 × 34364) / 2
LCM(34354,34364) = 1180540856 / 2
LCM(34354,34364) = 590270428

Least Common Multiple (LCM) of 34354 and 34364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34354 and 34364. First we will calculate the prime factors of 34354 and 34364.

Prime Factorization of 34354

Prime Factorization of 34364

Now multiplying the highest exponent prime factors to calculate the LCM of 34354 and 34364.

LCM(34354,34364) = 2² × 89¹ × 193¹ × 11² × 71¹
LCM(34354,34364) = 590270428