What is the Least Common Multiple of 26299 and 26303?

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 26299 and 26303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26299 and 26303, than apply into the LCM equation.

GCF(26299,26303) = 1
LCM(26299,26303) = ( 26299 × 26303) / 1
LCM(26299,26303) = 691742597 / 1
LCM(26299,26303) = 691742597

Least Common Multiple (LCM) of 26299 and 26303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26299 and 26303. First we will calculate the prime factors of 26299 and 26303.

Prime Factorization of 26299

Prime Factorization of 26303

Now multiplying the highest exponent prime factors to calculate the LCM of 26299 and 26303.

LCM(26299,26303) = 7¹ × 13¹ × 17² × 29¹ × 907¹
LCM(26299,26303) = 691742597