What is the Least Common Multiple of 99450 and 99465?

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 99450 and 99465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99450 and 99465, than apply into the LCM equation.

GCF(99450,99465) = 15
LCM(99450,99465) = ( 99450 × 99465) / 15
LCM(99450,99465) = 9891794250 / 15
LCM(99450,99465) = 659452950

Least Common Multiple (LCM) of 99450 and 99465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99450 and 99465. First we will calculate the prime factors of 99450 and 99465.

Prime Factorization of 99450

Prime Factorization of 99465

Now multiplying the highest exponent prime factors to calculate the LCM of 99450 and 99465.

LCM(99450,99465) = 2¹ × 3² × 5² × 13¹ × 17¹ × 19¹ × 349¹
LCM(99450,99465) = 659452950