What is the Least Common Multiple of 98569 and 98575?

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 98569 and 98575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98569 and 98575, than apply into the LCM equation.

GCF(98569,98575) = 1
LCM(98569,98575) = ( 98569 × 98575) / 1
LCM(98569,98575) = 9716439175 / 1
LCM(98569,98575) = 9716439175

Least Common Multiple (LCM) of 98569 and 98575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98569 and 98575. First we will calculate the prime factors of 98569 and 98575.

Prime Factorization of 98569

Prime Factorization of 98575

Now multiplying the highest exponent prime factors to calculate the LCM of 98569 and 98575.

LCM(98569,98575) = 241¹ × 409¹ × 5² × 3943¹
LCM(98569,98575) = 9716439175