What is the Least Common Multiple of 23301 and 23314?

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 23301 and 23314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23301 and 23314, than apply into the LCM equation.

GCF(23301,23314) = 1
LCM(23301,23314) = ( 23301 × 23314) / 1
LCM(23301,23314) = 543239514 / 1
LCM(23301,23314) = 543239514

Least Common Multiple (LCM) of 23301 and 23314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23301 and 23314. First we will calculate the prime factors of 23301 and 23314.

Prime Factorization of 23301

Prime Factorization of 23314

Now multiplying the highest exponent prime factors to calculate the LCM of 23301 and 23314.

LCM(23301,23314) = 3³ × 863¹ × 2¹ × 11657¹
LCM(23301,23314) = 543239514