What is the Least Common Multiple of 5298 and 5303?

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 of 5298 and 5303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5298 and 5303, than apply into the LCM equation.

GCF(5298,5303) = 1
LCM(5298,5303) = ( 5298 × 5303) / 1
LCM(5298,5303) = 28095294 / 1
LCM(5298,5303) = 28095294

Least Common Multiple (LCM) of 5298 and 5303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5298 and 5303. First we will calculate the prime factors of 5298 and 5303.

Prime Factorization of 5298

Prime Factorization of 5303

Now multiplying the highest exponent prime factors to calculate the LCM of 5298 and 5303.

LCM(5298,5303) = 2¹ × 3¹ × 883¹ × 5303¹
LCM(5298,5303) = 28095294