GCF and LCM Calculator Logo

What is the Least Common Multiple of 10432 and 10440?

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 10432 and 10440 is 13613760.

LCM(10432,10440) = 13613760

LCM Calculator and
and

Least Common Multiple of 10432 and 10440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10432 and 10440, than apply into the LCM equation.

GCF(10432,10440) = 8
LCM(10432,10440) = ( 10432 × 10440) / 8
LCM(10432,10440) = 108910080 / 8
LCM(10432,10440) = 13613760

Least Common Multiple (LCM) of 10432 and 10440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10432 and 10440. First we will calculate the prime factors of 10432 and 10440.

Prime Factorization of 10432

Prime factors of 10432 are 2, 163. Prime factorization of 10432 in exponential form is:

10432 = 26 × 1631

Prime Factorization of 10440

Prime factors of 10440 are 2, 3, 5, 29. Prime factorization of 10440 in exponential form is:

10440 = 23 × 32 × 51 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 10432 and 10440.

LCM(10432,10440) = 26 × 1631 × 32 × 51 × 291
LCM(10432,10440) = 13613760