What is the Least Common Multiple of 33248 and 33258?

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 33248 and 33258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33248 and 33258, than apply into the LCM equation.

GCF(33248,33258) = 2
LCM(33248,33258) = ( 33248 × 33258) / 2
LCM(33248,33258) = 1105761984 / 2
LCM(33248,33258) = 552880992

Least Common Multiple (LCM) of 33248 and 33258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33248 and 33258. First we will calculate the prime factors of 33248 and 33258.

Prime Factorization of 33248

Prime Factorization of 33258

Now multiplying the highest exponent prime factors to calculate the LCM of 33248 and 33258.

LCM(33248,33258) = 2⁵ × 1039¹ × 3¹ × 23¹ × 241¹
LCM(33248,33258) = 552880992