What is the Least Common Multiple of 47314 and 47321?

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 47314 and 47321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47314 and 47321, than apply into the LCM equation.

GCF(47314,47321) = 1
LCM(47314,47321) = ( 47314 × 47321) / 1
LCM(47314,47321) = 2238945794 / 1
LCM(47314,47321) = 2238945794

Least Common Multiple (LCM) of 47314 and 47321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47314 and 47321. First we will calculate the prime factors of 47314 and 47321.

Prime Factorization of 47314

Prime Factorization of 47321

Now multiplying the highest exponent prime factors to calculate the LCM of 47314 and 47321.

LCM(47314,47321) = 2¹ × 41¹ × 577¹ × 79¹ × 599¹
LCM(47314,47321) = 2238945794