GCF and LCM Calculator Logo

What is the Least Common Multiple of 10449 and 10464?

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 10449 and 10464 is 36446112.

LCM(10449,10464) = 36446112

LCM Calculator and
and

Least Common Multiple of 10449 and 10464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10449 and 10464, than apply into the LCM equation.

GCF(10449,10464) = 3
LCM(10449,10464) = ( 10449 × 10464) / 3
LCM(10449,10464) = 109338336 / 3
LCM(10449,10464) = 36446112

Least Common Multiple (LCM) of 10449 and 10464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10449 and 10464. First we will calculate the prime factors of 10449 and 10464.

Prime Factorization of 10449

Prime factors of 10449 are 3, 43. Prime factorization of 10449 in exponential form is:

10449 = 35 × 431

Prime Factorization of 10464

Prime factors of 10464 are 2, 3, 109. Prime factorization of 10464 in exponential form is:

10464 = 25 × 31 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 10449 and 10464.

LCM(10449,10464) = 35 × 431 × 25 × 1091
LCM(10449,10464) = 36446112