What is the Least Common Multiple of 33458 and 33462?

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 33458 and 33462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33458 and 33462, than apply into the LCM equation.

GCF(33458,33462) = 2
LCM(33458,33462) = ( 33458 × 33462) / 2
LCM(33458,33462) = 1119571596 / 2
LCM(33458,33462) = 559785798

Least Common Multiple (LCM) of 33458 and 33462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33458 and 33462. First we will calculate the prime factors of 33458 and 33462.

Prime Factorization of 33458

Prime Factorization of 33462

Now multiplying the highest exponent prime factors to calculate the LCM of 33458 and 33462.

LCM(33458,33462) = 2¹ × 16729¹ × 3² × 11¹ × 13²
LCM(33458,33462) = 559785798