What is the Least Common Multiple of 98509 and 98516?

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 98509 and 98516 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98509 and 98516, than apply into the LCM equation.

GCF(98509,98516) = 1
LCM(98509,98516) = ( 98509 × 98516) / 1
LCM(98509,98516) = 9704712644 / 1
LCM(98509,98516) = 9704712644

Least Common Multiple (LCM) of 98509 and 98516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98509 and 98516. First we will calculate the prime factors of 98509 and 98516.

Prime Factorization of 98509

Prime Factorization of 98516

Now multiplying the highest exponent prime factors to calculate the LCM of 98509 and 98516.

LCM(98509,98516) = 23¹ × 4283¹ × 2² × 11¹ × 2239¹
LCM(98509,98516) = 9704712644