What is the Least Common Multiple of 65293 and 65303?

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 65293 and 65303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65293 and 65303, than apply into the LCM equation.

GCF(65293,65303) = 1
LCM(65293,65303) = ( 65293 × 65303) / 1
LCM(65293,65303) = 4263828779 / 1
LCM(65293,65303) = 4263828779

Least Common Multiple (LCM) of 65293 and 65303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65293 and 65303. First we will calculate the prime factors of 65293 and 65303.

Prime Factorization of 65293

Prime Factorization of 65303

Now multiplying the highest exponent prime factors to calculate the LCM of 65293 and 65303.

LCM(65293,65303) = 65293¹ × 7¹ × 19¹ × 491¹
LCM(65293,65303) = 4263828779