What is the Least Common Multiple of 99549 and 99553?

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 99549 and 99553 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99549 and 99553, than apply into the LCM equation.

GCF(99549,99553) = 1
LCM(99549,99553) = ( 99549 × 99553) / 1
LCM(99549,99553) = 9910401597 / 1
LCM(99549,99553) = 9910401597

Least Common Multiple (LCM) of 99549 and 99553 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99549 and 99553. First we will calculate the prime factors of 99549 and 99553.

Prime Factorization of 99549

Prime Factorization of 99553

Now multiplying the highest exponent prime factors to calculate the LCM of 99549 and 99553.

LCM(99549,99553) = 3⁴ × 1229¹ × 113¹ × 881¹
LCM(99549,99553) = 9910401597