What is the Least Common Multiple of 98804 and 98815?

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 98804 and 98815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98804 and 98815, than apply into the LCM equation.

GCF(98804,98815) = 1
LCM(98804,98815) = ( 98804 × 98815) / 1
LCM(98804,98815) = 9763317260 / 1
LCM(98804,98815) = 9763317260

Least Common Multiple (LCM) of 98804 and 98815 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98804 and 98815. First we will calculate the prime factors of 98804 and 98815.

Prime Factorization of 98804

Prime Factorization of 98815

Now multiplying the highest exponent prime factors to calculate the LCM of 98804 and 98815.

LCM(98804,98815) = 2² × 17¹ × 1453¹ × 5¹ × 19763¹
LCM(98804,98815) = 9763317260