What is the Least Common Multiple of 99345 and 99357?

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 99357 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 99357, than apply into the LCM equation.

GCF(99345,99357) = 3
LCM(99345,99357) = ( 99345 × 99357) / 3
LCM(99345,99357) = 9870621165 / 3
LCM(99345,99357) = 3290207055

Least Common Multiple (LCM) of 99345 and 99357 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99345 and 99357. First we will calculate the prime factors of 99345 and 99357.

Prime Factorization of 99345

Prime Factorization of 99357

Now multiplying the highest exponent prime factors to calculate the LCM of 99345 and 99357.

LCM(99345,99357) = 3¹ × 5¹ × 37¹ × 179¹ × 33119¹
LCM(99345,99357) = 3290207055