GCF and LCM Calculator Logo

What is the Least Common Multiple of 29801 and 29809?

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 29801 and 29809 is 888338009.

LCM(29801,29809) = 888338009

LCM Calculator and
and

Least Common Multiple of 29801 and 29809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29801 and 29809, than apply into the LCM equation.

GCF(29801,29809) = 1
LCM(29801,29809) = ( 29801 × 29809) / 1
LCM(29801,29809) = 888338009 / 1
LCM(29801,29809) = 888338009

Least Common Multiple (LCM) of 29801 and 29809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29801 and 29809. First we will calculate the prime factors of 29801 and 29809.

Prime Factorization of 29801

Prime factors of 29801 are 17, 1753. Prime factorization of 29801 in exponential form is:

29801 = 171 × 17531

Prime Factorization of 29809

Prime factors of 29809 are 13, 2293. Prime factorization of 29809 in exponential form is:

29809 = 131 × 22931

Now multiplying the highest exponent prime factors to calculate the LCM of 29801 and 29809.

LCM(29801,29809) = 171 × 17531 × 131 × 22931
LCM(29801,29809) = 888338009