What is the Least Common Multiple of 33314 and 33334?

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 33314 and 33334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33314 and 33334, than apply into the LCM equation.

GCF(33314,33334) = 2
LCM(33314,33334) = ( 33314 × 33334) / 2
LCM(33314,33334) = 1110488876 / 2
LCM(33314,33334) = 555244438

Least Common Multiple (LCM) of 33314 and 33334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33314 and 33334. First we will calculate the prime factors of 33314 and 33334.

Prime Factorization of 33314

Prime Factorization of 33334

Now multiplying the highest exponent prime factors to calculate the LCM of 33314 and 33334.

LCM(33314,33334) = 2¹ × 16657¹ × 7¹ × 2381¹
LCM(33314,33334) = 555244438