GCF and LCM Calculator Logo

What is the Least Common Multiple of 11832 and 11851?

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 11832 and 11851 is 140221032.

LCM(11832,11851) = 140221032

LCM Calculator and
and

Least Common Multiple of 11832 and 11851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11832 and 11851, than apply into the LCM equation.

GCF(11832,11851) = 1
LCM(11832,11851) = ( 11832 × 11851) / 1
LCM(11832,11851) = 140221032 / 1
LCM(11832,11851) = 140221032

Least Common Multiple (LCM) of 11832 and 11851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11832 and 11851. First we will calculate the prime factors of 11832 and 11851.

Prime Factorization of 11832

Prime factors of 11832 are 2, 3, 17, 29. Prime factorization of 11832 in exponential form is:

11832 = 23 × 31 × 171 × 291

Prime Factorization of 11851

Prime factors of 11851 are 7, 1693. Prime factorization of 11851 in exponential form is:

11851 = 71 × 16931

Now multiplying the highest exponent prime factors to calculate the LCM of 11832 and 11851.

LCM(11832,11851) = 23 × 31 × 171 × 291 × 71 × 16931
LCM(11832,11851) = 140221032