GCF and LCM Calculator Logo

What is the Least Common Multiple of 1909 and 1917?

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 1909 and 1917 is 3659553.

LCM(1909,1917) = 3659553

LCM Calculator and
and

Least Common Multiple of 1909 and 1917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1909 and 1917, than apply into the LCM equation.

GCF(1909,1917) = 1
LCM(1909,1917) = ( 1909 × 1917) / 1
LCM(1909,1917) = 3659553 / 1
LCM(1909,1917) = 3659553

Least Common Multiple (LCM) of 1909 and 1917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1909 and 1917. First we will calculate the prime factors of 1909 and 1917.

Prime Factorization of 1909

Prime factors of 1909 are 23, 83. Prime factorization of 1909 in exponential form is:

1909 = 231 × 831

Prime Factorization of 1917

Prime factors of 1917 are 3, 71. Prime factorization of 1917 in exponential form is:

1917 = 33 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 1909 and 1917.

LCM(1909,1917) = 231 × 831 × 33 × 711
LCM(1909,1917) = 3659553