What is the Least Common Multiple of 98399 and 98405?

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 98399 and 98405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98399 and 98405, than apply into the LCM equation.

GCF(98399,98405) = 1
LCM(98399,98405) = ( 98399 × 98405) / 1
LCM(98399,98405) = 9682953595 / 1
LCM(98399,98405) = 9682953595

Least Common Multiple (LCM) of 98399 and 98405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98399 and 98405. First we will calculate the prime factors of 98399 and 98405.

Prime Factorization of 98399

Prime Factorization of 98405

Now multiplying the highest exponent prime factors to calculate the LCM of 98399 and 98405.

LCM(98399,98405) = 7¹ × 14057¹ × 5¹ × 19681¹
LCM(98399,98405) = 9682953595