GCF and LCM Calculator Logo

What is the Least Common Multiple of 10774 and 10784?

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 10774 and 10784 is 58093408.

LCM(10774,10784) = 58093408

LCM Calculator and
and

Least Common Multiple of 10774 and 10784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10774 and 10784, than apply into the LCM equation.

GCF(10774,10784) = 2
LCM(10774,10784) = ( 10774 × 10784) / 2
LCM(10774,10784) = 116186816 / 2
LCM(10774,10784) = 58093408

Least Common Multiple (LCM) of 10774 and 10784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10774 and 10784. First we will calculate the prime factors of 10774 and 10784.

Prime Factorization of 10774

Prime factors of 10774 are 2, 5387. Prime factorization of 10774 in exponential form is:

10774 = 21 × 53871

Prime Factorization of 10784

Prime factors of 10784 are 2, 337. Prime factorization of 10784 in exponential form is:

10784 = 25 × 3371

Now multiplying the highest exponent prime factors to calculate the LCM of 10774 and 10784.

LCM(10774,10784) = 25 × 53871 × 3371
LCM(10774,10784) = 58093408