GCF and LCM Calculator Logo

What is the Least Common Multiple of 11844 and 11854?

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 11844 and 11854 is 70199388.

LCM(11844,11854) = 70199388

LCM Calculator and
and

Least Common Multiple of 11844 and 11854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11844 and 11854, than apply into the LCM equation.

GCF(11844,11854) = 2
LCM(11844,11854) = ( 11844 × 11854) / 2
LCM(11844,11854) = 140398776 / 2
LCM(11844,11854) = 70199388

Least Common Multiple (LCM) of 11844 and 11854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11844 and 11854. First we will calculate the prime factors of 11844 and 11854.

Prime Factorization of 11844

Prime factors of 11844 are 2, 3, 7, 47. Prime factorization of 11844 in exponential form is:

11844 = 22 × 32 × 71 × 471

Prime Factorization of 11854

Prime factors of 11854 are 2, 5927. Prime factorization of 11854 in exponential form is:

11854 = 21 × 59271

Now multiplying the highest exponent prime factors to calculate the LCM of 11844 and 11854.

LCM(11844,11854) = 22 × 32 × 71 × 471 × 59271
LCM(11844,11854) = 70199388