What is the Least Common Multiple of 23314 and 23334?

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 23314 and 23334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23314 and 23334, than apply into the LCM equation.

GCF(23314,23334) = 2
LCM(23314,23334) = ( 23314 × 23334) / 2
LCM(23314,23334) = 544008876 / 2
LCM(23314,23334) = 272004438

Least Common Multiple (LCM) of 23314 and 23334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23314 and 23334. First we will calculate the prime factors of 23314 and 23334.

Prime Factorization of 23314

Prime Factorization of 23334

Now multiplying the highest exponent prime factors to calculate the LCM of 23314 and 23334.

LCM(23314,23334) = 2¹ × 11657¹ × 3¹ × 3889¹
LCM(23314,23334) = 272004438