GCF and LCM Calculator Logo

What is the Least Common Multiple of 10448 and 10468?

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 10448 and 10468 is 27342416.

LCM(10448,10468) = 27342416

LCM Calculator and
and

Least Common Multiple of 10448 and 10468 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10448 and 10468, than apply into the LCM equation.

GCF(10448,10468) = 4
LCM(10448,10468) = ( 10448 × 10468) / 4
LCM(10448,10468) = 109369664 / 4
LCM(10448,10468) = 27342416

Least Common Multiple (LCM) of 10448 and 10468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10448 and 10468. First we will calculate the prime factors of 10448 and 10468.

Prime Factorization of 10448

Prime factors of 10448 are 2, 653. Prime factorization of 10448 in exponential form is:

10448 = 24 × 6531

Prime Factorization of 10468

Prime factors of 10468 are 2, 2617. Prime factorization of 10468 in exponential form is:

10468 = 22 × 26171

Now multiplying the highest exponent prime factors to calculate the LCM of 10448 and 10468.

LCM(10448,10468) = 24 × 6531 × 26171
LCM(10448,10468) = 27342416