What is the Least Common Multiple of 98909 and 98914?

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 98909 and 98914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98909 and 98914, than apply into the LCM equation.

GCF(98909,98914) = 1
LCM(98909,98914) = ( 98909 × 98914) / 1
LCM(98909,98914) = 9783484826 / 1
LCM(98909,98914) = 9783484826

Least Common Multiple (LCM) of 98909 and 98914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98909 and 98914. First we will calculate the prime factors of 98909 and 98914.

Prime Factorization of 98909

Prime Factorization of 98914

Now multiplying the highest exponent prime factors to calculate the LCM of 98909 and 98914.

LCM(98909,98914) = 98909¹ × 2¹ × 19² × 137¹
LCM(98909,98914) = 9783484826