GCF and LCM Calculator Logo

What is the Least Common Multiple of 29583 and 29592?

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 29583 and 29592 is 97268904.

LCM(29583,29592) = 97268904

LCM Calculator and
and

Least Common Multiple of 29583 and 29592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29583 and 29592, than apply into the LCM equation.

GCF(29583,29592) = 9
LCM(29583,29592) = ( 29583 × 29592) / 9
LCM(29583,29592) = 875420136 / 9
LCM(29583,29592) = 97268904

Least Common Multiple (LCM) of 29583 and 29592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29583 and 29592. First we will calculate the prime factors of 29583 and 29592.

Prime Factorization of 29583

Prime factors of 29583 are 3, 19, 173. Prime factorization of 29583 in exponential form is:

29583 = 32 × 191 × 1731

Prime Factorization of 29592

Prime factors of 29592 are 2, 3, 137. Prime factorization of 29592 in exponential form is:

29592 = 23 × 33 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 29583 and 29592.

LCM(29583,29592) = 33 × 191 × 1731 × 23 × 1371
LCM(29583,29592) = 97268904