What is the Least Common Multiple of 33258 and 33276?

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 33276 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 33276, than apply into the LCM equation.

GCF(33258,33276) = 6
LCM(33258,33276) = ( 33258 × 33276) / 6
LCM(33258,33276) = 1106693208 / 6
LCM(33258,33276) = 184448868

Least Common Multiple (LCM) of 33258 and 33276 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33258 and 33276. First we will calculate the prime factors of 33258 and 33276.

Prime Factorization of 33258

Prime Factorization of 33276

Now multiplying the highest exponent prime factors to calculate the LCM of 33258 and 33276.

LCM(33258,33276) = 2² × 3¹ × 23¹ × 241¹ × 47¹ × 59¹
LCM(33258,33276) = 184448868