What is the Least Common Multiple of 99270 and 99275?

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 99270 and 99275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99270 and 99275, than apply into the LCM equation.

GCF(99270,99275) = 5
LCM(99270,99275) = ( 99270 × 99275) / 5
LCM(99270,99275) = 9855029250 / 5
LCM(99270,99275) = 1971005850

Least Common Multiple (LCM) of 99270 and 99275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99270 and 99275. First we will calculate the prime factors of 99270 and 99275.

Prime Factorization of 99270

Prime Factorization of 99275

Now multiplying the highest exponent prime factors to calculate the LCM of 99270 and 99275.

LCM(99270,99275) = 2¹ × 3² × 5² × 1103¹ × 11¹ × 19²
LCM(99270,99275) = 1971005850