What is the Least Common Multiple of 98921 and 98933?

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 98921 and 98933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98921 and 98933, than apply into the LCM equation.

GCF(98921,98933) = 1
LCM(98921,98933) = ( 98921 × 98933) / 1
LCM(98921,98933) = 9786551293 / 1
LCM(98921,98933) = 9786551293

Least Common Multiple (LCM) of 98921 and 98933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98921 and 98933. First we will calculate the prime factors of 98921 and 98933.

Prime Factorization of 98921

Prime Factorization of 98933

Now multiplying the highest exponent prime factors to calculate the LCM of 98921 and 98933.

LCM(98921,98933) = 31¹ × 3191¹ × 19¹ × 41¹ × 127¹
LCM(98921,98933) = 9786551293