What is the Least Common Multiple of 33488 and 33498?

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 33488 and 33498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33488 and 33498, than apply into the LCM equation.

GCF(33488,33498) = 2
LCM(33488,33498) = ( 33488 × 33498) / 2
LCM(33488,33498) = 1121781024 / 2
LCM(33488,33498) = 560890512

Least Common Multiple (LCM) of 33488 and 33498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33488 and 33498. First we will calculate the prime factors of 33488 and 33498.

Prime Factorization of 33488

Prime Factorization of 33498

Now multiplying the highest exponent prime factors to calculate the LCM of 33488 and 33498.

LCM(33488,33498) = 2⁴ × 7¹ × 13¹ × 23¹ × 3² × 1861¹
LCM(33488,33498) = 560890512