GCF and LCM Calculator Logo

What is the Least Common Multiple of 26832 and 26846?

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 26832 and 26846 is 360165936.

LCM(26832,26846) = 360165936

LCM Calculator and
and

Least Common Multiple of 26832 and 26846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26832 and 26846, than apply into the LCM equation.

GCF(26832,26846) = 2
LCM(26832,26846) = ( 26832 × 26846) / 2
LCM(26832,26846) = 720331872 / 2
LCM(26832,26846) = 360165936

Least Common Multiple (LCM) of 26832 and 26846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26832 and 26846. First we will calculate the prime factors of 26832 and 26846.

Prime Factorization of 26832

Prime factors of 26832 are 2, 3, 13, 43. Prime factorization of 26832 in exponential form is:

26832 = 24 × 31 × 131 × 431

Prime Factorization of 26846

Prime factors of 26846 are 2, 31, 433. Prime factorization of 26846 in exponential form is:

26846 = 21 × 311 × 4331

Now multiplying the highest exponent prime factors to calculate the LCM of 26832 and 26846.

LCM(26832,26846) = 24 × 31 × 131 × 431 × 311 × 4331
LCM(26832,26846) = 360165936