What is the Least Common Multiple of 33252 and 33262?

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 33252 and 33262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33252 and 33262, than apply into the LCM equation.

GCF(33252,33262) = 2
LCM(33252,33262) = ( 33252 × 33262) / 2
LCM(33252,33262) = 1106028024 / 2
LCM(33252,33262) = 553014012

Least Common Multiple (LCM) of 33252 and 33262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33252 and 33262. First we will calculate the prime factors of 33252 and 33262.

Prime Factorization of 33252

Prime Factorization of 33262

Now multiplying the highest exponent prime factors to calculate the LCM of 33252 and 33262.

LCM(33252,33262) = 2² × 3¹ × 17¹ × 163¹ × 16631¹
LCM(33252,33262) = 553014012