GCF and LCM Calculator Logo

What is the Least Common Multiple of 17550 and 17554?

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 17550 and 17554 is 154036350.

LCM(17550,17554) = 154036350

LCM Calculator and
and

Least Common Multiple of 17550 and 17554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17550 and 17554, than apply into the LCM equation.

GCF(17550,17554) = 2
LCM(17550,17554) = ( 17550 × 17554) / 2
LCM(17550,17554) = 308072700 / 2
LCM(17550,17554) = 154036350

Least Common Multiple (LCM) of 17550 and 17554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17550 and 17554. First we will calculate the prime factors of 17550 and 17554.

Prime Factorization of 17550

Prime factors of 17550 are 2, 3, 5, 13. Prime factorization of 17550 in exponential form is:

17550 = 21 × 33 × 52 × 131

Prime Factorization of 17554

Prime factors of 17554 are 2, 67, 131. Prime factorization of 17554 in exponential form is:

17554 = 21 × 671 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 17550 and 17554.

LCM(17550,17554) = 21 × 33 × 52 × 131 × 671 × 1311
LCM(17550,17554) = 154036350