What is the Least Common Multiple of 99345 and 99354?

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 99345 and 99354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99345 and 99354, than apply into the LCM equation.

GCF(99345,99354) = 3
LCM(99345,99354) = ( 99345 × 99354) / 3
LCM(99345,99354) = 9870323130 / 3
LCM(99345,99354) = 3290107710

Least Common Multiple (LCM) of 99345 and 99354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99345 and 99354. First we will calculate the prime factors of 99345 and 99354.

Prime Factorization of 99345

Prime Factorization of 99354

Now multiplying the highest exponent prime factors to calculate the LCM of 99345 and 99354.

LCM(99345,99354) = 3¹ × 5¹ × 37¹ × 179¹ × 2¹ × 29¹ × 571¹
LCM(99345,99354) = 3290107710