GCF and LCM Calculator Logo

What is the Least Common Multiple of 2448 and 2467?

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 2448 and 2467 is 6039216.

LCM(2448,2467) = 6039216

LCM Calculator and
and

Least Common Multiple of 2448 and 2467 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2448 and 2467, than apply into the LCM equation.

GCF(2448,2467) = 1
LCM(2448,2467) = ( 2448 × 2467) / 1
LCM(2448,2467) = 6039216 / 1
LCM(2448,2467) = 6039216

Least Common Multiple (LCM) of 2448 and 2467 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2448 and 2467. First we will calculate the prime factors of 2448 and 2467.

Prime Factorization of 2448

Prime factors of 2448 are 2, 3, 17. Prime factorization of 2448 in exponential form is:

2448 = 24 × 32 × 171

Prime Factorization of 2467

Prime factors of 2467 are 2467. Prime factorization of 2467 in exponential form is:

2467 = 24671

Now multiplying the highest exponent prime factors to calculate the LCM of 2448 and 2467.

LCM(2448,2467) = 24 × 32 × 171 × 24671
LCM(2448,2467) = 6039216