GCF and LCM Calculator Logo

What is the Least Common Multiple of 10472 and 10487?

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 10472 and 10487 is 109819864.

LCM(10472,10487) = 109819864

LCM Calculator and
and

Least Common Multiple of 10472 and 10487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10472 and 10487, than apply into the LCM equation.

GCF(10472,10487) = 1
LCM(10472,10487) = ( 10472 × 10487) / 1
LCM(10472,10487) = 109819864 / 1
LCM(10472,10487) = 109819864

Least Common Multiple (LCM) of 10472 and 10487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10472 and 10487. First we will calculate the prime factors of 10472 and 10487.

Prime Factorization of 10472

Prime factors of 10472 are 2, 7, 11, 17. Prime factorization of 10472 in exponential form is:

10472 = 23 × 71 × 111 × 171

Prime Factorization of 10487

Prime factors of 10487 are 10487. Prime factorization of 10487 in exponential form is:

10487 = 104871

Now multiplying the highest exponent prime factors to calculate the LCM of 10472 and 10487.

LCM(10472,10487) = 23 × 71 × 111 × 171 × 104871
LCM(10472,10487) = 109819864