GCF and LCM Calculator Logo

What is the Least Common Multiple of 383 and 397?

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 383 and 397 is 152051.

LCM(383,397) = 152051

LCM Calculator and
and

Least Common Multiple of 383 and 397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 383 and 397, than apply into the LCM equation.

GCF(383,397) = 1
LCM(383,397) = ( 383 × 397) / 1
LCM(383,397) = 152051 / 1
LCM(383,397) = 152051

Least Common Multiple (LCM) of 383 and 397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 383 and 397. First we will calculate the prime factors of 383 and 397.

Prime Factorization of 383

Prime factors of 383 are 383. Prime factorization of 383 in exponential form is:

383 = 3831

Prime Factorization of 397

Prime factors of 397 are 397. Prime factorization of 397 in exponential form is:

397 = 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 383 and 397.

LCM(383,397) = 3831 × 3971
LCM(383,397) = 152051