What is the Least Common Multiple of 99280 and 99300?

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 99280 and 99300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99280 and 99300, than apply into the LCM equation.

GCF(99280,99300) = 20
LCM(99280,99300) = ( 99280 × 99300) / 20
LCM(99280,99300) = 9858504000 / 20
LCM(99280,99300) = 492925200

Least Common Multiple (LCM) of 99280 and 99300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99280 and 99300. First we will calculate the prime factors of 99280 and 99300.

Prime Factorization of 99280

Prime Factorization of 99300

Now multiplying the highest exponent prime factors to calculate the LCM of 99280 and 99300.

LCM(99280,99300) = 2⁴ × 5² × 17¹ × 73¹ × 3¹ × 331¹
LCM(99280,99300) = 492925200