What is the Least Common Multiple of 47328 and 47347?

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 47328 and 47347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47328 and 47347, than apply into the LCM equation.

GCF(47328,47347) = 1
LCM(47328,47347) = ( 47328 × 47347) / 1
LCM(47328,47347) = 2240838816 / 1
LCM(47328,47347) = 2240838816

Least Common Multiple (LCM) of 47328 and 47347 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47328 and 47347. First we will calculate the prime factors of 47328 and 47347.

Prime Factorization of 47328

Prime Factorization of 47347

Now multiplying the highest exponent prime factors to calculate the LCM of 47328 and 47347.

LCM(47328,47347) = 2⁵ × 3¹ × 17¹ × 29¹ × 113¹ × 419¹
LCM(47328,47347) = 2240838816