GCF and LCM Calculator Logo

What is the Least Common Multiple of 17421 and 17437?

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 17421 and 17437 is 303769977.

LCM(17421,17437) = 303769977

LCM Calculator and
and

Least Common Multiple of 17421 and 17437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17421 and 17437, than apply into the LCM equation.

GCF(17421,17437) = 1
LCM(17421,17437) = ( 17421 × 17437) / 1
LCM(17421,17437) = 303769977 / 1
LCM(17421,17437) = 303769977

Least Common Multiple (LCM) of 17421 and 17437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17421 and 17437. First we will calculate the prime factors of 17421 and 17437.

Prime Factorization of 17421

Prime factors of 17421 are 3, 5807. Prime factorization of 17421 in exponential form is:

17421 = 31 × 58071

Prime Factorization of 17437

Prime factors of 17437 are 7, 47, 53. Prime factorization of 17437 in exponential form is:

17437 = 71 × 471 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 17421 and 17437.

LCM(17421,17437) = 31 × 58071 × 71 × 471 × 531
LCM(17421,17437) = 303769977