GCF and LCM Calculator Logo

What is the Least Common Multiple of 29506 and 29511?

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 29506 and 29511 is 870751566.

LCM(29506,29511) = 870751566

LCM Calculator and
and

Least Common Multiple of 29506 and 29511 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29506 and 29511, than apply into the LCM equation.

GCF(29506,29511) = 1
LCM(29506,29511) = ( 29506 × 29511) / 1
LCM(29506,29511) = 870751566 / 1
LCM(29506,29511) = 870751566

Least Common Multiple (LCM) of 29506 and 29511 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29506 and 29511. First we will calculate the prime factors of 29506 and 29511.

Prime Factorization of 29506

Prime factors of 29506 are 2, 14753. Prime factorization of 29506 in exponential form is:

29506 = 21 × 147531

Prime Factorization of 29511

Prime factors of 29511 are 3, 1093. Prime factorization of 29511 in exponential form is:

29511 = 33 × 10931

Now multiplying the highest exponent prime factors to calculate the LCM of 29506 and 29511.

LCM(29506,29511) = 21 × 147531 × 33 × 10931
LCM(29506,29511) = 870751566