What is the Least Common Multiple of 98480 and 98498?

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 98480 and 98498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98480 and 98498, than apply into the LCM equation.

GCF(98480,98498) = 2
LCM(98480,98498) = ( 98480 × 98498) / 2
LCM(98480,98498) = 9700083040 / 2
LCM(98480,98498) = 4850041520

Least Common Multiple (LCM) of 98480 and 98498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98480 and 98498. First we will calculate the prime factors of 98480 and 98498.

Prime Factorization of 98480

Prime Factorization of 98498

Now multiplying the highest exponent prime factors to calculate the LCM of 98480 and 98498.

LCM(98480,98498) = 2⁴ × 5¹ × 1231¹ × 17¹ × 2897¹
LCM(98480,98498) = 4850041520