What is the Least Common Multiple of 98335 and 98347?

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 98335 and 98347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98335 and 98347, than apply into the LCM equation.

GCF(98335,98347) = 1
LCM(98335,98347) = ( 98335 × 98347) / 1
LCM(98335,98347) = 9670952245 / 1
LCM(98335,98347) = 9670952245

Least Common Multiple (LCM) of 98335 and 98347 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98335 and 98347. First we will calculate the prime factors of 98335 and 98347.

Prime Factorization of 98335

Prime Factorization of 98347

Now multiplying the highest exponent prime factors to calculate the LCM of 98335 and 98347.

LCM(98335,98347) = 5¹ × 71¹ × 277¹ × 98347¹
LCM(98335,98347) = 9670952245