What is the Least Common Multiple of 34322 and 34337?

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 34322 and 34337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34322 and 34337, than apply into the LCM equation.

GCF(34322,34337) = 1
LCM(34322,34337) = ( 34322 × 34337) / 1
LCM(34322,34337) = 1178514514 / 1
LCM(34322,34337) = 1178514514

Least Common Multiple (LCM) of 34322 and 34337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34322 and 34337. First we will calculate the prime factors of 34322 and 34337.

Prime Factorization of 34322

Prime Factorization of 34337

Now multiplying the highest exponent prime factors to calculate the LCM of 34322 and 34337.

LCM(34322,34337) = 2¹ × 131² × 34337¹
LCM(34322,34337) = 1178514514