GCF and LCM Calculator Logo

What is the Least Common Multiple of 29822 and 29832?

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 29822 and 29832 is 444824952.

LCM(29822,29832) = 444824952

LCM Calculator and
and

Least Common Multiple of 29822 and 29832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29822 and 29832, than apply into the LCM equation.

GCF(29822,29832) = 2
LCM(29822,29832) = ( 29822 × 29832) / 2
LCM(29822,29832) = 889649904 / 2
LCM(29822,29832) = 444824952

Least Common Multiple (LCM) of 29822 and 29832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29822 and 29832. First we will calculate the prime factors of 29822 and 29832.

Prime Factorization of 29822

Prime factors of 29822 are 2, 13, 31, 37. Prime factorization of 29822 in exponential form is:

29822 = 21 × 131 × 311 × 371

Prime Factorization of 29832

Prime factors of 29832 are 2, 3, 11, 113. Prime factorization of 29832 in exponential form is:

29832 = 23 × 31 × 111 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 29822 and 29832.

LCM(29822,29832) = 23 × 131 × 311 × 371 × 31 × 111 × 1131
LCM(29822,29832) = 444824952