What is the Least Common Multiple of 99433 and 99450?

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 99433 and 99450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99433 and 99450, than apply into the LCM equation.

GCF(99433,99450) = 17
LCM(99433,99450) = ( 99433 × 99450) / 17
LCM(99433,99450) = 9888611850 / 17
LCM(99433,99450) = 581683050

Least Common Multiple (LCM) of 99433 and 99450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99433 and 99450. First we will calculate the prime factors of 99433 and 99450.

Prime Factorization of 99433

Prime Factorization of 99450

Now multiplying the highest exponent prime factors to calculate the LCM of 99433 and 99450.

LCM(99433,99450) = 17¹ × 5849¹ × 2¹ × 3² × 5² × 13¹
LCM(99433,99450) = 581683050