What is the Least Common Multiple of 52298 and 52303?

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 52298 and 52303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52298 and 52303, than apply into the LCM equation.

GCF(52298,52303) = 1
LCM(52298,52303) = ( 52298 × 52303) / 1
LCM(52298,52303) = 2735342294 / 1
LCM(52298,52303) = 2735342294

Least Common Multiple (LCM) of 52298 and 52303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52298 and 52303. First we will calculate the prime factors of 52298 and 52303.

Prime Factorization of 52298

Prime Factorization of 52303

Now multiplying the highest exponent prime factors to calculate the LCM of 52298 and 52303.

LCM(52298,52303) = 2¹ × 79¹ × 331¹ × 193¹ × 271¹
LCM(52298,52303) = 2735342294