What is the Least Common Multiple of 48214 and 48233?

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 48214 and 48233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48214 and 48233, than apply into the LCM equation.

GCF(48214,48233) = 1
LCM(48214,48233) = ( 48214 × 48233) / 1
LCM(48214,48233) = 2325505862 / 1
LCM(48214,48233) = 2325505862

Least Common Multiple (LCM) of 48214 and 48233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48214 and 48233. First we will calculate the prime factors of 48214 and 48233.

Prime Factorization of 48214

Prime Factorization of 48233

Now multiplying the highest exponent prime factors to calculate the LCM of 48214 and 48233.

LCM(48214,48233) = 2¹ × 24107¹ × 139¹ × 347¹
LCM(48214,48233) = 2325505862