What is the Least Common Multiple of 98810 and 98816?

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 98810 and 98816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98810 and 98816, than apply into the LCM equation.

GCF(98810,98816) = 2
LCM(98810,98816) = ( 98810 × 98816) / 2
LCM(98810,98816) = 9764008960 / 2
LCM(98810,98816) = 4882004480

Least Common Multiple (LCM) of 98810 and 98816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98810 and 98816. First we will calculate the prime factors of 98810 and 98816.

Prime Factorization of 98810

Prime Factorization of 98816

Now multiplying the highest exponent prime factors to calculate the LCM of 98810 and 98816.

LCM(98810,98816) = 2⁹ × 5¹ × 41¹ × 241¹ × 193¹
LCM(98810,98816) = 4882004480