GCF and LCM Calculator Logo

What is the Least Common Multiple of 91233 and 91238?

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 91233 and 91238 is 8323916454.

LCM(91233,91238) = 8323916454

LCM Calculator and
and

Least Common Multiple of 91233 and 91238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91233 and 91238, than apply into the LCM equation.

GCF(91233,91238) = 1
LCM(91233,91238) = ( 91233 × 91238) / 1
LCM(91233,91238) = 8323916454 / 1
LCM(91233,91238) = 8323916454

Least Common Multiple (LCM) of 91233 and 91238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91233 and 91238. First we will calculate the prime factors of 91233 and 91238.

Prime Factorization of 91233

Prime factors of 91233 are 3, 31, 109. Prime factorization of 91233 in exponential form is:

91233 = 33 × 311 × 1091

Prime Factorization of 91238

Prime factors of 91238 are 2, 7, 19. Prime factorization of 91238 in exponential form is:

91238 = 21 × 74 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 91233 and 91238.

LCM(91233,91238) = 33 × 311 × 1091 × 21 × 74 × 191
LCM(91233,91238) = 8323916454