GCF and LCM Calculator Logo

What is the Least Common Multiple of 8937 and 8953?

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 8937 and 8953 is 80012961.

LCM(8937,8953) = 80012961

LCM Calculator and
and

Least Common Multiple of 8937 and 8953 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8937 and 8953, than apply into the LCM equation.

GCF(8937,8953) = 1
LCM(8937,8953) = ( 8937 × 8953) / 1
LCM(8937,8953) = 80012961 / 1
LCM(8937,8953) = 80012961

Least Common Multiple (LCM) of 8937 and 8953 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8937 and 8953. First we will calculate the prime factors of 8937 and 8953.

Prime Factorization of 8937

Prime factors of 8937 are 3, 331. Prime factorization of 8937 in exponential form is:

8937 = 33 × 3311

Prime Factorization of 8953

Prime factors of 8953 are 7, 1279. Prime factorization of 8953 in exponential form is:

8953 = 71 × 12791

Now multiplying the highest exponent prime factors to calculate the LCM of 8937 and 8953.

LCM(8937,8953) = 33 × 3311 × 71 × 12791
LCM(8937,8953) = 80012961