GCF and LCM Calculator Logo

What is the Least Common Multiple of 67238 and 67257?

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 (LCM) of 67238 and 67257 is 4522226166.

LCM(67238,67257) = 4522226166

LCM Calculator and
and

Least Common Multiple of 67238 and 67257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67238 and 67257, than apply into the LCM equation.

GCF(67238,67257) = 1
LCM(67238,67257) = ( 67238 × 67257) / 1
LCM(67238,67257) = 4522226166 / 1
LCM(67238,67257) = 4522226166

Least Common Multiple (LCM) of 67238 and 67257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67238 and 67257. First we will calculate the prime factors of 67238 and 67257.

Prime Factorization of 67238

Prime factors of 67238 are 2, 33619. Prime factorization of 67238 in exponential form is:

67238 = 21 × 336191

Prime Factorization of 67257

Prime factors of 67257 are 3, 47, 53. Prime factorization of 67257 in exponential form is:

67257 = 33 × 471 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 67238 and 67257.

LCM(67238,67257) = 21 × 336191 × 33 × 471 × 531
LCM(67238,67257) = 4522226166