What is the Least Common Multiple of 99240 and 99250?

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 99240 and 99250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99240 and 99250, than apply into the LCM equation.

GCF(99240,99250) = 10
LCM(99240,99250) = ( 99240 × 99250) / 10
LCM(99240,99250) = 9849570000 / 10
LCM(99240,99250) = 984957000

Least Common Multiple (LCM) of 99240 and 99250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99240 and 99250. First we will calculate the prime factors of 99240 and 99250.

Prime Factorization of 99240

Prime Factorization of 99250

Now multiplying the highest exponent prime factors to calculate the LCM of 99240 and 99250.

LCM(99240,99250) = 2³ × 3¹ × 5³ × 827¹ × 397¹
LCM(99240,99250) = 984957000