What is the Least Common Multiple of 98904 and 98921?

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 98904 and 98921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98904 and 98921, than apply into the LCM equation.

GCF(98904,98921) = 1
LCM(98904,98921) = ( 98904 × 98921) / 1
LCM(98904,98921) = 9783682584 / 1
LCM(98904,98921) = 9783682584

Least Common Multiple (LCM) of 98904 and 98921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98904 and 98921. First we will calculate the prime factors of 98904 and 98921.

Prime Factorization of 98904

Prime Factorization of 98921

Now multiplying the highest exponent prime factors to calculate the LCM of 98904 and 98921.

LCM(98904,98921) = 2³ × 3¹ × 13¹ × 317¹ × 31¹ × 3191¹
LCM(98904,98921) = 9783682584