What is the Least Common Multiple of 47321 and 47341?

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 47321 and 47341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47321 and 47341, than apply into the LCM equation.

GCF(47321,47341) = 1
LCM(47321,47341) = ( 47321 × 47341) / 1
LCM(47321,47341) = 2240223461 / 1
LCM(47321,47341) = 2240223461

Least Common Multiple (LCM) of 47321 and 47341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47321 and 47341. First we will calculate the prime factors of 47321 and 47341.

Prime Factorization of 47321

Prime Factorization of 47341

Now multiplying the highest exponent prime factors to calculate the LCM of 47321 and 47341.

LCM(47321,47341) = 79¹ × 599¹ × 7¹ × 6763¹
LCM(47321,47341) = 2240223461