What is the Least Common Multiple of 26335 and 26347?

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 26335 and 26347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26335 and 26347, than apply into the LCM equation.

GCF(26335,26347) = 1
LCM(26335,26347) = ( 26335 × 26347) / 1
LCM(26335,26347) = 693848245 / 1
LCM(26335,26347) = 693848245

Least Common Multiple (LCM) of 26335 and 26347 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26335 and 26347. First we will calculate the prime factors of 26335 and 26347.

Prime Factorization of 26335

Prime Factorization of 26347

Now multiplying the highest exponent prime factors to calculate the LCM of 26335 and 26347.

LCM(26335,26347) = 5¹ × 23¹ × 229¹ × 26347¹
LCM(26335,26347) = 693848245