GCF and LCM Calculator Logo

What is the Least Common Multiple of 10552 and 10565?

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 10552 and 10565 is 111481880.

LCM(10552,10565) = 111481880

LCM Calculator and
and

Least Common Multiple of 10552 and 10565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10552 and 10565, than apply into the LCM equation.

GCF(10552,10565) = 1
LCM(10552,10565) = ( 10552 × 10565) / 1
LCM(10552,10565) = 111481880 / 1
LCM(10552,10565) = 111481880

Least Common Multiple (LCM) of 10552 and 10565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10552 and 10565. First we will calculate the prime factors of 10552 and 10565.

Prime Factorization of 10552

Prime factors of 10552 are 2, 1319. Prime factorization of 10552 in exponential form is:

10552 = 23 × 13191

Prime Factorization of 10565

Prime factors of 10565 are 5, 2113. Prime factorization of 10565 in exponential form is:

10565 = 51 × 21131

Now multiplying the highest exponent prime factors to calculate the LCM of 10552 and 10565.

LCM(10552,10565) = 23 × 13191 × 51 × 21131
LCM(10552,10565) = 111481880