What is the Least Common Multiple of 33258 and 33267?

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 33258 and 33267 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33258 and 33267, than apply into the LCM equation.

GCF(33258,33267) = 3
LCM(33258,33267) = ( 33258 × 33267) / 3
LCM(33258,33267) = 1106393886 / 3
LCM(33258,33267) = 368797962

Least Common Multiple (LCM) of 33258 and 33267 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33258 and 33267. First we will calculate the prime factors of 33258 and 33267.

Prime Factorization of 33258

Prime Factorization of 33267

Now multiplying the highest exponent prime factors to calculate the LCM of 33258 and 33267.

LCM(33258,33267) = 2¹ × 3¹ × 23¹ × 241¹ × 13¹ × 853¹
LCM(33258,33267) = 368797962