What is the Least Common Multiple of 99475 and 99493?

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 99475 and 99493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99475 and 99493, than apply into the LCM equation.

GCF(99475,99493) = 1
LCM(99475,99493) = ( 99475 × 99493) / 1
LCM(99475,99493) = 9897066175 / 1
LCM(99475,99493) = 9897066175

Least Common Multiple (LCM) of 99475 and 99493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99475 and 99493. First we will calculate the prime factors of 99475 and 99493.

Prime Factorization of 99475

Prime Factorization of 99493

Now multiplying the highest exponent prime factors to calculate the LCM of 99475 and 99493.

LCM(99475,99493) = 5² × 23¹ × 173¹ × 37¹ × 2689¹
LCM(99475,99493) = 9897066175