What is the Least Common Multiple of 47309 and 47314?

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 47309 and 47314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47309 and 47314, than apply into the LCM equation.

GCF(47309,47314) = 1
LCM(47309,47314) = ( 47309 × 47314) / 1
LCM(47309,47314) = 2238378026 / 1
LCM(47309,47314) = 2238378026

Least Common Multiple (LCM) of 47309 and 47314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47309 and 47314. First we will calculate the prime factors of 47309 and 47314.

Prime Factorization of 47309

Prime Factorization of 47314

Now multiplying the highest exponent prime factors to calculate the LCM of 47309 and 47314.

LCM(47309,47314) = 47309¹ × 2¹ × 41¹ × 577¹
LCM(47309,47314) = 2238378026