GCF and LCM Calculator Logo

What is the Least Common Multiple of 17905 and 17916?

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 17905 and 17916 is 320785980.

LCM(17905,17916) = 320785980

LCM Calculator and
and

Least Common Multiple of 17905 and 17916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17905 and 17916, than apply into the LCM equation.

GCF(17905,17916) = 1
LCM(17905,17916) = ( 17905 × 17916) / 1
LCM(17905,17916) = 320785980 / 1
LCM(17905,17916) = 320785980

Least Common Multiple (LCM) of 17905 and 17916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17905 and 17916. First we will calculate the prime factors of 17905 and 17916.

Prime Factorization of 17905

Prime factors of 17905 are 5, 3581. Prime factorization of 17905 in exponential form is:

17905 = 51 × 35811

Prime Factorization of 17916

Prime factors of 17916 are 2, 3, 1493. Prime factorization of 17916 in exponential form is:

17916 = 22 × 31 × 14931

Now multiplying the highest exponent prime factors to calculate the LCM of 17905 and 17916.

LCM(17905,17916) = 51 × 35811 × 22 × 31 × 14931
LCM(17905,17916) = 320785980