GCF and LCM Calculator Logo

What is the Least Common Multiple of 8460 and 8464?

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 8460 and 8464 is 17901360.

LCM(8460,8464) = 17901360

LCM Calculator and
and

Least Common Multiple of 8460 and 8464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8460 and 8464, than apply into the LCM equation.

GCF(8460,8464) = 4
LCM(8460,8464) = ( 8460 × 8464) / 4
LCM(8460,8464) = 71605440 / 4
LCM(8460,8464) = 17901360

Least Common Multiple (LCM) of 8460 and 8464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8460 and 8464. First we will calculate the prime factors of 8460 and 8464.

Prime Factorization of 8460

Prime factors of 8460 are 2, 3, 5, 47. Prime factorization of 8460 in exponential form is:

8460 = 22 × 32 × 51 × 471

Prime Factorization of 8464

Prime factors of 8464 are 2, 23. Prime factorization of 8464 in exponential form is:

8464 = 24 × 232

Now multiplying the highest exponent prime factors to calculate the LCM of 8460 and 8464.

LCM(8460,8464) = 24 × 32 × 51 × 471 × 232
LCM(8460,8464) = 17901360