What is the Least Common Multiple of 23335 and 23347?

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 23335 and 23347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23335 and 23347, than apply into the LCM equation.

GCF(23335,23347) = 1
LCM(23335,23347) = ( 23335 × 23347) / 1
LCM(23335,23347) = 544802245 / 1
LCM(23335,23347) = 544802245

Least Common Multiple (LCM) of 23335 and 23347 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23335 and 23347. First we will calculate the prime factors of 23335 and 23347.

Prime Factorization of 23335

Prime Factorization of 23347

Now multiplying the highest exponent prime factors to calculate the LCM of 23335 and 23347.

LCM(23335,23347) = 5¹ × 13¹ × 359¹ × 37¹ × 631¹
LCM(23335,23347) = 544802245