What is the Least Common Multiple of 56341 and 56348?

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 56341 and 56348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56341 and 56348, than apply into the LCM equation.

GCF(56341,56348) = 1
LCM(56341,56348) = ( 56341 × 56348) / 1
LCM(56341,56348) = 3174702668 / 1
LCM(56341,56348) = 3174702668

Least Common Multiple (LCM) of 56341 and 56348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56341 and 56348. First we will calculate the prime factors of 56341 and 56348.

Prime Factorization of 56341

Prime Factorization of 56348

Now multiplying the highest exponent prime factors to calculate the LCM of 56341 and 56348.

LCM(56341,56348) = 103¹ × 547¹ × 2² × 14087¹
LCM(56341,56348) = 3174702668