What is the Least Common Multiple of 99350 and 99355?

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 99350 and 99355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99350 and 99355, than apply into the LCM equation.

GCF(99350,99355) = 5
LCM(99350,99355) = ( 99350 × 99355) / 5
LCM(99350,99355) = 9870919250 / 5
LCM(99350,99355) = 1974183850

Least Common Multiple (LCM) of 99350 and 99355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99350 and 99355. First we will calculate the prime factors of 99350 and 99355.

Prime Factorization of 99350

Prime Factorization of 99355

Now multiplying the highest exponent prime factors to calculate the LCM of 99350 and 99355.

LCM(99350,99355) = 2¹ × 5² × 1987¹ × 31¹ × 641¹
LCM(99350,99355) = 1974183850