GCF and LCM Calculator Logo

What is the Least Common Multiple of 27317 and 27337?

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 27317 and 27337 is 746764829.

LCM(27317,27337) = 746764829

LCM Calculator and
and

Least Common Multiple of 27317 and 27337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27317 and 27337, than apply into the LCM equation.

GCF(27317,27337) = 1
LCM(27317,27337) = ( 27317 × 27337) / 1
LCM(27317,27337) = 746764829 / 1
LCM(27317,27337) = 746764829

Least Common Multiple (LCM) of 27317 and 27337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27317 and 27337. First we will calculate the prime factors of 27317 and 27337.

Prime Factorization of 27317

Prime factors of 27317 are 59, 463. Prime factorization of 27317 in exponential form is:

27317 = 591 × 4631

Prime Factorization of 27337

Prime factors of 27337 are 27337. Prime factorization of 27337 in exponential form is:

27337 = 273371

Now multiplying the highest exponent prime factors to calculate the LCM of 27317 and 27337.

LCM(27317,27337) = 591 × 4631 × 273371
LCM(27317,27337) = 746764829