What is the Least Common Multiple of 4298 and 4303?

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 4298 and 4303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4298 and 4303, than apply into the LCM equation.

GCF(4298,4303) = 1
LCM(4298,4303) = ( 4298 × 4303) / 1
LCM(4298,4303) = 18494294 / 1
LCM(4298,4303) = 18494294

Least Common Multiple (LCM) of 4298 and 4303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4298 and 4303. First we will calculate the prime factors of 4298 and 4303.

Prime Factorization of 4298

Prime Factorization of 4303

Now multiplying the highest exponent prime factors to calculate the LCM of 4298 and 4303.

LCM(4298,4303) = 2¹ × 7¹ × 307¹ × 13¹ × 331¹
LCM(4298,4303) = 18494294