What is the Least Common Multiple of 98854 and 98860?

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 98854 and 98860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98854 and 98860, than apply into the LCM equation.

GCF(98854,98860) = 2
LCM(98854,98860) = ( 98854 × 98860) / 2
LCM(98854,98860) = 9772706440 / 2
LCM(98854,98860) = 4886353220

Least Common Multiple (LCM) of 98854 and 98860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98854 and 98860. First we will calculate the prime factors of 98854 and 98860.

Prime Factorization of 98854

Prime Factorization of 98860

Now multiplying the highest exponent prime factors to calculate the LCM of 98854 and 98860.

LCM(98854,98860) = 2² × 7¹ × 23¹ × 307¹ × 5¹ × 4943¹
LCM(98854,98860) = 4886353220