What is the Least Common Multiple of 34397 and 34408?

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 34397 and 34408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34397 and 34408, than apply into the LCM equation.

GCF(34397,34408) = 11
LCM(34397,34408) = ( 34397 × 34408) / 11
LCM(34397,34408) = 1183531976 / 11
LCM(34397,34408) = 107593816

Least Common Multiple (LCM) of 34397 and 34408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34397 and 34408. First we will calculate the prime factors of 34397 and 34408.

Prime Factorization of 34397

Prime Factorization of 34408

Now multiplying the highest exponent prime factors to calculate the LCM of 34397 and 34408.

LCM(34397,34408) = 11¹ × 53¹ × 59¹ × 2³ × 17¹ × 23¹
LCM(34397,34408) = 107593816