What is the Least Common Multiple of 98480 and 98490?

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 98490 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 98490, than apply into the LCM equation.

GCF(98480,98490) = 10
LCM(98480,98490) = ( 98480 × 98490) / 10
LCM(98480,98490) = 9699295200 / 10
LCM(98480,98490) = 969929520

Least Common Multiple (LCM) of 98480 and 98490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98480 and 98490. First we will calculate the prime factors of 98480 and 98490.

Prime Factorization of 98480

Prime Factorization of 98490

Now multiplying the highest exponent prime factors to calculate the LCM of 98480 and 98490.

LCM(98480,98490) = 2⁴ × 5¹ × 1231¹ × 3¹ × 7² × 67¹
LCM(98480,98490) = 969929520