What is the Least Common Multiple of 47321 and 47334?

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 47334 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 47334, than apply into the LCM equation.

GCF(47321,47334) = 1
LCM(47321,47334) = ( 47321 × 47334) / 1
LCM(47321,47334) = 2239892214 / 1
LCM(47321,47334) = 2239892214

Least Common Multiple (LCM) of 47321 and 47334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47321 and 47334. First we will calculate the prime factors of 47321 and 47334.

Prime Factorization of 47321

Prime Factorization of 47334

Now multiplying the highest exponent prime factors to calculate the LCM of 47321 and 47334.

LCM(47321,47334) = 79¹ × 599¹ × 2¹ × 3¹ × 7³ × 23¹
LCM(47321,47334) = 2239892214