What is the Least Common Multiple of 34237 and 34241?

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 34237 and 34241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34237 and 34241, than apply into the LCM equation.

GCF(34237,34241) = 1
LCM(34237,34241) = ( 34237 × 34241) / 1
LCM(34237,34241) = 1172309117 / 1
LCM(34237,34241) = 1172309117

Least Common Multiple (LCM) of 34237 and 34241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34237 and 34241. First we will calculate the prime factors of 34237 and 34241.

Prime Factorization of 34237

Prime Factorization of 34241

Now multiplying the highest exponent prime factors to calculate the LCM of 34237 and 34241.

LCM(34237,34241) = 7¹ × 67¹ × 73¹ × 97¹ × 353¹
LCM(34237,34241) = 1172309117