What is the Least Common Multiple of 99445 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 99445 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 99445 and 99450, than apply into the LCM equation.

GCF(99445,99450) = 5
LCM(99445,99450) = ( 99445 × 99450) / 5
LCM(99445,99450) = 9889805250 / 5
LCM(99445,99450) = 1977961050

Least Common Multiple (LCM) of 99445 and 99450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99445 and 99450. First we will calculate the prime factors of 99445 and 99450.

Prime Factorization of 99445

Prime Factorization of 99450

Now multiplying the highest exponent prime factors to calculate the LCM of 99445 and 99450.

LCM(99445,99450) = 5² × 19889¹ × 2¹ × 3² × 13¹ × 17¹
LCM(99445,99450) = 1977961050