What is the Least Common Multiple of 98385 and 98399?

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 98385 and 98399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98385 and 98399, than apply into the LCM equation.

GCF(98385,98399) = 7
LCM(98385,98399) = ( 98385 × 98399) / 7
LCM(98385,98399) = 9680985615 / 7
LCM(98385,98399) = 1382997945

Least Common Multiple (LCM) of 98385 and 98399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98385 and 98399. First we will calculate the prime factors of 98385 and 98399.

Prime Factorization of 98385

Prime Factorization of 98399

Now multiplying the highest exponent prime factors to calculate the LCM of 98385 and 98399.

LCM(98385,98399) = 3¹ × 5¹ × 7¹ × 937¹ × 14057¹
LCM(98385,98399) = 1382997945