GCF and LCM Calculator Logo

What is the Least Common Multiple of 66238 and 66255?

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 66238 and 66255 is 4388598690.

LCM(66238,66255) = 4388598690

LCM Calculator and
and

Least Common Multiple of 66238 and 66255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66238 and 66255, than apply into the LCM equation.

GCF(66238,66255) = 1
LCM(66238,66255) = ( 66238 × 66255) / 1
LCM(66238,66255) = 4388598690 / 1
LCM(66238,66255) = 4388598690

Least Common Multiple (LCM) of 66238 and 66255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66238 and 66255. First we will calculate the prime factors of 66238 and 66255.

Prime Factorization of 66238

Prime factors of 66238 are 2, 33119. Prime factorization of 66238 in exponential form is:

66238 = 21 × 331191

Prime Factorization of 66255

Prime factors of 66255 are 3, 5, 7, 631. Prime factorization of 66255 in exponential form is:

66255 = 31 × 51 × 71 × 6311

Now multiplying the highest exponent prime factors to calculate the LCM of 66238 and 66255.

LCM(66238,66255) = 21 × 331191 × 31 × 51 × 71 × 6311
LCM(66238,66255) = 4388598690