GCF and LCM Calculator Logo

What is the Least Common Multiple of 10634 and 10644?

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 10634 and 10644 is 56594148.

LCM(10634,10644) = 56594148

LCM Calculator and
and

Least Common Multiple of 10634 and 10644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10634 and 10644, than apply into the LCM equation.

GCF(10634,10644) = 2
LCM(10634,10644) = ( 10634 × 10644) / 2
LCM(10634,10644) = 113188296 / 2
LCM(10634,10644) = 56594148

Least Common Multiple (LCM) of 10634 and 10644 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10634 and 10644. First we will calculate the prime factors of 10634 and 10644.

Prime Factorization of 10634

Prime factors of 10634 are 2, 13, 409. Prime factorization of 10634 in exponential form is:

10634 = 21 × 131 × 4091

Prime Factorization of 10644

Prime factors of 10644 are 2, 3, 887. Prime factorization of 10644 in exponential form is:

10644 = 22 × 31 × 8871

Now multiplying the highest exponent prime factors to calculate the LCM of 10634 and 10644.

LCM(10634,10644) = 22 × 131 × 4091 × 31 × 8871
LCM(10634,10644) = 56594148