What is the Least Common Multiple of 99365 and 99381?

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 99365 and 99381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99365 and 99381, than apply into the LCM equation.

GCF(99365,99381) = 1
LCM(99365,99381) = ( 99365 × 99381) / 1
LCM(99365,99381) = 9874993065 / 1
LCM(99365,99381) = 9874993065

Least Common Multiple (LCM) of 99365 and 99381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99365 and 99381. First we will calculate the prime factors of 99365 and 99381.

Prime Factorization of 99365

Prime Factorization of 99381

Now multiplying the highest exponent prime factors to calculate the LCM of 99365 and 99381.

LCM(99365,99381) = 5¹ × 7¹ × 17¹ × 167¹ × 3¹ × 157¹ × 211¹
LCM(99365,99381) = 9874993065