GCF and LCM Calculator Logo

What is the Least Common Multiple of 10785 and 10795?

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 10785 and 10795 is 23284815.

LCM(10785,10795) = 23284815

LCM Calculator and
and

Least Common Multiple of 10785 and 10795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10785 and 10795, than apply into the LCM equation.

GCF(10785,10795) = 5
LCM(10785,10795) = ( 10785 × 10795) / 5
LCM(10785,10795) = 116424075 / 5
LCM(10785,10795) = 23284815

Least Common Multiple (LCM) of 10785 and 10795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10785 and 10795. First we will calculate the prime factors of 10785 and 10795.

Prime Factorization of 10785

Prime factors of 10785 are 3, 5, 719. Prime factorization of 10785 in exponential form is:

10785 = 31 × 51 × 7191

Prime Factorization of 10795

Prime factors of 10795 are 5, 17, 127. Prime factorization of 10795 in exponential form is:

10795 = 51 × 171 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 10785 and 10795.

LCM(10785,10795) = 31 × 51 × 7191 × 171 × 1271
LCM(10785,10795) = 23284815