What is the Least Common Multiple of 98893 and 98904?

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 98893 and 98904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98893 and 98904, than apply into the LCM equation.

GCF(98893,98904) = 1
LCM(98893,98904) = ( 98893 × 98904) / 1
LCM(98893,98904) = 9780913272 / 1
LCM(98893,98904) = 9780913272

Least Common Multiple (LCM) of 98893 and 98904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98893 and 98904. First we will calculate the prime factors of 98893 and 98904.

Prime Factorization of 98893

Prime Factorization of 98904

Now multiplying the highest exponent prime factors to calculate the LCM of 98893 and 98904.

LCM(98893,98904) = 98893¹ × 2³ × 3¹ × 13¹ × 317¹
LCM(98893,98904) = 9780913272