What is the Least Common Multiple of 83488 and 83498?

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 83488 and 83498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83488 and 83498, than apply into the LCM equation.

GCF(83488,83498) = 2
LCM(83488,83498) = ( 83488 × 83498) / 2
LCM(83488,83498) = 6971081024 / 2
LCM(83488,83498) = 3485540512

Least Common Multiple (LCM) of 83488 and 83498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83488 and 83498. First we will calculate the prime factors of 83488 and 83498.

Prime Factorization of 83488

Prime Factorization of 83498

Now multiplying the highest exponent prime factors to calculate the LCM of 83488 and 83498.

LCM(83488,83498) = 2⁵ × 2609¹ × 83¹ × 503¹
LCM(83488,83498) = 3485540512