GCF and LCM Calculator Logo

What is the Least Common Multiple of 47905 and 47909?

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 47905 and 47909 is 2295080645.

LCM(47905,47909) = 2295080645

LCM Calculator and
and

Least Common Multiple of 47905 and 47909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47905 and 47909, than apply into the LCM equation.

GCF(47905,47909) = 1
LCM(47905,47909) = ( 47905 × 47909) / 1
LCM(47905,47909) = 2295080645 / 1
LCM(47905,47909) = 2295080645

Least Common Multiple (LCM) of 47905 and 47909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47905 and 47909. First we will calculate the prime factors of 47905 and 47909.

Prime Factorization of 47905

Prime factors of 47905 are 5, 11, 13, 67. Prime factorization of 47905 in exponential form is:

47905 = 51 × 111 × 131 × 671

Prime Factorization of 47909

Prime factors of 47909 are 23, 2083. Prime factorization of 47909 in exponential form is:

47909 = 231 × 20831

Now multiplying the highest exponent prime factors to calculate the LCM of 47905 and 47909.

LCM(47905,47909) = 51 × 111 × 131 × 671 × 231 × 20831
LCM(47905,47909) = 2295080645