What is the Least Common Multiple of 34390 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 34390 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 34390 and 34408, than apply into the LCM equation.

GCF(34390,34408) = 2
LCM(34390,34408) = ( 34390 × 34408) / 2
LCM(34390,34408) = 1183291120 / 2
LCM(34390,34408) = 591645560

Least Common Multiple (LCM) of 34390 and 34408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34390 and 34408. First we will calculate the prime factors of 34390 and 34408.

Prime Factorization of 34390

Prime Factorization of 34408

Now multiplying the highest exponent prime factors to calculate the LCM of 34390 and 34408.

LCM(34390,34408) = 2³ × 5¹ × 19¹ × 181¹ × 11¹ × 17¹ × 23¹
LCM(34390,34408) = 591645560