GCF and LCM Calculator Logo

What is the Least Common Multiple of 35281 and 35298?

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 35281 and 35298 is 1245348738.

LCM(35281,35298) = 1245348738

LCM Calculator and
and

Least Common Multiple of 35281 and 35298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35281 and 35298, than apply into the LCM equation.

GCF(35281,35298) = 1
LCM(35281,35298) = ( 35281 × 35298) / 1
LCM(35281,35298) = 1245348738 / 1
LCM(35281,35298) = 1245348738

Least Common Multiple (LCM) of 35281 and 35298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35281 and 35298. First we will calculate the prime factors of 35281 and 35298.

Prime Factorization of 35281

Prime factors of 35281 are 35281. Prime factorization of 35281 in exponential form is:

35281 = 352811

Prime Factorization of 35298

Prime factors of 35298 are 2, 3, 37, 53. Prime factorization of 35298 in exponential form is:

35298 = 21 × 32 × 371 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 35281 and 35298.

LCM(35281,35298) = 352811 × 21 × 32 × 371 × 531
LCM(35281,35298) = 1245348738