GCF and LCM Calculator Logo

What is the Least Common Multiple of 10371 and 10384?

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 10371 and 10384 is 107692464.

LCM(10371,10384) = 107692464

LCM Calculator and
and

Least Common Multiple of 10371 and 10384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10371 and 10384, than apply into the LCM equation.

GCF(10371,10384) = 1
LCM(10371,10384) = ( 10371 × 10384) / 1
LCM(10371,10384) = 107692464 / 1
LCM(10371,10384) = 107692464

Least Common Multiple (LCM) of 10371 and 10384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10371 and 10384. First we will calculate the prime factors of 10371 and 10384.

Prime Factorization of 10371

Prime factors of 10371 are 3, 3457. Prime factorization of 10371 in exponential form is:

10371 = 31 × 34571

Prime Factorization of 10384

Prime factors of 10384 are 2, 11, 59. Prime factorization of 10384 in exponential form is:

10384 = 24 × 111 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 10371 and 10384.

LCM(10371,10384) = 31 × 34571 × 24 × 111 × 591
LCM(10371,10384) = 107692464