GCF and LCM Calculator Logo

What is the Least Common Multiple of 8412 and 8432?

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 8412 and 8432 is 17732496.

LCM(8412,8432) = 17732496

LCM Calculator and
and

Least Common Multiple of 8412 and 8432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8412 and 8432, than apply into the LCM equation.

GCF(8412,8432) = 4
LCM(8412,8432) = ( 8412 × 8432) / 4
LCM(8412,8432) = 70929984 / 4
LCM(8412,8432) = 17732496

Least Common Multiple (LCM) of 8412 and 8432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8412 and 8432. First we will calculate the prime factors of 8412 and 8432.

Prime Factorization of 8412

Prime factors of 8412 are 2, 3, 701. Prime factorization of 8412 in exponential form is:

8412 = 22 × 31 × 7011

Prime Factorization of 8432

Prime factors of 8432 are 2, 17, 31. Prime factorization of 8432 in exponential form is:

8432 = 24 × 171 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 8412 and 8432.

LCM(8412,8432) = 24 × 31 × 7011 × 171 × 311
LCM(8412,8432) = 17732496