What is the Least Common Multiple of 34348 and 34368?

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 34348 and 34368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34348 and 34368, than apply into the LCM equation.

GCF(34348,34368) = 4
LCM(34348,34368) = ( 34348 × 34368) / 4
LCM(34348,34368) = 1180472064 / 4
LCM(34348,34368) = 295118016

Least Common Multiple (LCM) of 34348 and 34368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34348 and 34368. First we will calculate the prime factors of 34348 and 34368.

Prime Factorization of 34348

Prime Factorization of 34368

Now multiplying the highest exponent prime factors to calculate the LCM of 34348 and 34368.

LCM(34348,34368) = 2⁶ × 31¹ × 277¹ × 3¹ × 179¹
LCM(34348,34368) = 295118016