GCF and LCM Calculator Logo

What is the Least Common Multiple of 10535 and 10551?

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 10535 and 10551 is 111154785.

LCM(10535,10551) = 111154785

LCM Calculator and
and

Least Common Multiple of 10535 and 10551 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10535 and 10551, than apply into the LCM equation.

GCF(10535,10551) = 1
LCM(10535,10551) = ( 10535 × 10551) / 1
LCM(10535,10551) = 111154785 / 1
LCM(10535,10551) = 111154785

Least Common Multiple (LCM) of 10535 and 10551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10535 and 10551. First we will calculate the prime factors of 10535 and 10551.

Prime Factorization of 10535

Prime factors of 10535 are 5, 7, 43. Prime factorization of 10535 in exponential form is:

10535 = 51 × 72 × 431

Prime Factorization of 10551

Prime factors of 10551 are 3, 3517. Prime factorization of 10551 in exponential form is:

10551 = 31 × 35171

Now multiplying the highest exponent prime factors to calculate the LCM of 10535 and 10551.

LCM(10535,10551) = 51 × 72 × 431 × 31 × 35171
LCM(10535,10551) = 111154785