What is the Least Common Multiple of 84237 and 84241?

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 84237 and 84241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84237 and 84241, than apply into the LCM equation.

GCF(84237,84241) = 1
LCM(84237,84241) = ( 84237 × 84241) / 1
LCM(84237,84241) = 7096209117 / 1
LCM(84237,84241) = 7096209117

Least Common Multiple (LCM) of 84237 and 84241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84237 and 84241. First we will calculate the prime factors of 84237 and 84241.

Prime Factorization of 84237

Prime Factorization of 84241

Now multiplying the highest exponent prime factors to calculate the LCM of 84237 and 84241.

LCM(84237,84241) = 3¹ × 43¹ × 653¹ × 61¹ × 1381¹
LCM(84237,84241) = 7096209117