GCF and LCM Calculator Logo

What is the Least Common Multiple of 27824 and 27833?

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 27824 and 27833 is 774425392.

LCM(27824,27833) = 774425392

LCM Calculator and
and

Least Common Multiple of 27824 and 27833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27824 and 27833, than apply into the LCM equation.

GCF(27824,27833) = 1
LCM(27824,27833) = ( 27824 × 27833) / 1
LCM(27824,27833) = 774425392 / 1
LCM(27824,27833) = 774425392

Least Common Multiple (LCM) of 27824 and 27833 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27824 and 27833. First we will calculate the prime factors of 27824 and 27833.

Prime Factorization of 27824

Prime factors of 27824 are 2, 37, 47. Prime factorization of 27824 in exponential form is:

27824 = 24 × 371 × 471

Prime Factorization of 27833

Prime factors of 27833 are 13, 2141. Prime factorization of 27833 in exponential form is:

27833 = 131 × 21411

Now multiplying the highest exponent prime factors to calculate the LCM of 27824 and 27833.

LCM(27824,27833) = 24 × 371 × 471 × 131 × 21411
LCM(27824,27833) = 774425392