GCF and LCM Calculator Logo

What is the Least Common Multiple of 10959 and 10976?

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 10959 and 10976 is 120285984.

LCM(10959,10976) = 120285984

LCM Calculator and
and

Least Common Multiple of 10959 and 10976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10959 and 10976, than apply into the LCM equation.

GCF(10959,10976) = 1
LCM(10959,10976) = ( 10959 × 10976) / 1
LCM(10959,10976) = 120285984 / 1
LCM(10959,10976) = 120285984

Least Common Multiple (LCM) of 10959 and 10976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10959 and 10976. First we will calculate the prime factors of 10959 and 10976.

Prime Factorization of 10959

Prime factors of 10959 are 3, 13, 281. Prime factorization of 10959 in exponential form is:

10959 = 31 × 131 × 2811

Prime Factorization of 10976

Prime factors of 10976 are 2, 7. Prime factorization of 10976 in exponential form is:

10976 = 25 × 73

Now multiplying the highest exponent prime factors to calculate the LCM of 10959 and 10976.

LCM(10959,10976) = 31 × 131 × 2811 × 25 × 73
LCM(10959,10976) = 120285984