What is the Least Common Multiple of 47321 and 47336?

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 47336 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 47336, than apply into the LCM equation.

GCF(47321,47336) = 1
LCM(47321,47336) = ( 47321 × 47336) / 1
LCM(47321,47336) = 2239986856 / 1
LCM(47321,47336) = 2239986856

Least Common Multiple (LCM) of 47321 and 47336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47321 and 47336. First we will calculate the prime factors of 47321 and 47336.

Prime Factorization of 47321

Prime Factorization of 47336

Now multiplying the highest exponent prime factors to calculate the LCM of 47321 and 47336.

LCM(47321,47336) = 79¹ × 599¹ × 2³ × 61¹ × 97¹
LCM(47321,47336) = 2239986856