What is the Least Common Multiple of 98249 and 98260?

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 98249 and 98260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98249 and 98260, than apply into the LCM equation.

GCF(98249,98260) = 1
LCM(98249,98260) = ( 98249 × 98260) / 1
LCM(98249,98260) = 9653946740 / 1
LCM(98249,98260) = 9653946740

Least Common Multiple (LCM) of 98249 and 98260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98249 and 98260. First we will calculate the prime factors of 98249 and 98260.

Prime Factorization of 98249

Prime Factorization of 98260

Now multiplying the highest exponent prime factors to calculate the LCM of 98249 and 98260.

LCM(98249,98260) = 19¹ × 5171¹ × 2² × 5¹ × 17³
LCM(98249,98260) = 9653946740