GCF and LCM Calculator Logo

What is the Least Common Multiple of 2535 and 2552?

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 2535 and 2552 is 6469320.

LCM(2535,2552) = 6469320

LCM Calculator and
and

Least Common Multiple of 2535 and 2552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2535 and 2552, than apply into the LCM equation.

GCF(2535,2552) = 1
LCM(2535,2552) = ( 2535 × 2552) / 1
LCM(2535,2552) = 6469320 / 1
LCM(2535,2552) = 6469320

Least Common Multiple (LCM) of 2535 and 2552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2535 and 2552. First we will calculate the prime factors of 2535 and 2552.

Prime Factorization of 2535

Prime factors of 2535 are 3, 5, 13. Prime factorization of 2535 in exponential form is:

2535 = 31 × 51 × 132

Prime Factorization of 2552

Prime factors of 2552 are 2, 11, 29. Prime factorization of 2552 in exponential form is:

2552 = 23 × 111 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 2535 and 2552.

LCM(2535,2552) = 31 × 51 × 132 × 23 × 111 × 291
LCM(2535,2552) = 6469320