GCF and LCM Calculator Logo

What is the Least Common Multiple of 298 and 318?

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 298 and 318 is 47382.

LCM(298,318) = 47382

LCM Calculator and
and

Least Common Multiple of 298 and 318 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 298 and 318, than apply into the LCM equation.

GCF(298,318) = 2
LCM(298,318) = ( 298 × 318) / 2
LCM(298,318) = 94764 / 2
LCM(298,318) = 47382

Least Common Multiple (LCM) of 298 and 318 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 298 and 318. First we will calculate the prime factors of 298 and 318.

Prime Factorization of 298

Prime factors of 298 are 2, 149. Prime factorization of 298 in exponential form is:

298 = 21 × 1491

Prime Factorization of 318

Prime factors of 318 are 2, 3, 53. Prime factorization of 318 in exponential form is:

318 = 21 × 31 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 298 and 318.

LCM(298,318) = 21 × 1491 × 31 × 531
LCM(298,318) = 47382