GCF and LCM Calculator Logo

What is the Least Common Multiple of 10899 and 10915?

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 10899 and 10915 is 118962585.

LCM(10899,10915) = 118962585

LCM Calculator and
and

Least Common Multiple of 10899 and 10915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10899 and 10915, than apply into the LCM equation.

GCF(10899,10915) = 1
LCM(10899,10915) = ( 10899 × 10915) / 1
LCM(10899,10915) = 118962585 / 1
LCM(10899,10915) = 118962585

Least Common Multiple (LCM) of 10899 and 10915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10899 and 10915. First we will calculate the prime factors of 10899 and 10915.

Prime Factorization of 10899

Prime factors of 10899 are 3, 7, 173. Prime factorization of 10899 in exponential form is:

10899 = 32 × 71 × 1731

Prime Factorization of 10915

Prime factors of 10915 are 5, 37, 59. Prime factorization of 10915 in exponential form is:

10915 = 51 × 371 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 10899 and 10915.

LCM(10899,10915) = 32 × 71 × 1731 × 51 × 371 × 591
LCM(10899,10915) = 118962585