GCF and LCM Calculator Logo

What is the Least Common Multiple of 10949 and 10964?

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 10949 and 10964 is 120044836.

LCM(10949,10964) = 120044836

LCM Calculator and
and

Least Common Multiple of 10949 and 10964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10949 and 10964, than apply into the LCM equation.

GCF(10949,10964) = 1
LCM(10949,10964) = ( 10949 × 10964) / 1
LCM(10949,10964) = 120044836 / 1
LCM(10949,10964) = 120044836

Least Common Multiple (LCM) of 10949 and 10964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10949 and 10964. First we will calculate the prime factors of 10949 and 10964.

Prime Factorization of 10949

Prime factors of 10949 are 10949. Prime factorization of 10949 in exponential form is:

10949 = 109491

Prime Factorization of 10964

Prime factors of 10964 are 2, 2741. Prime factorization of 10964 in exponential form is:

10964 = 22 × 27411

Now multiplying the highest exponent prime factors to calculate the LCM of 10949 and 10964.

LCM(10949,10964) = 109491 × 22 × 27411
LCM(10949,10964) = 120044836