What is the Least Common Multiple of 98480 and 98497?

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 98497 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 98497, than apply into the LCM equation.

GCF(98480,98497) = 1
LCM(98480,98497) = ( 98480 × 98497) / 1
LCM(98480,98497) = 9699984560 / 1
LCM(98480,98497) = 9699984560

Least Common Multiple (LCM) of 98480 and 98497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98480 and 98497. First we will calculate the prime factors of 98480 and 98497.

Prime Factorization of 98480

Prime Factorization of 98497

Now multiplying the highest exponent prime factors to calculate the LCM of 98480 and 98497.

LCM(98480,98497) = 2⁴ × 5¹ × 1231¹ × 7¹ × 14071¹
LCM(98480,98497) = 9699984560