What is the Least Common Multiple of 99000 and 99008?

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 99000 and 99008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99000 and 99008, than apply into the LCM equation.

GCF(99000,99008) = 8
LCM(99000,99008) = ( 99000 × 99008) / 8
LCM(99000,99008) = 9801792000 / 8
LCM(99000,99008) = 1225224000

Least Common Multiple (LCM) of 99000 and 99008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99000 and 99008. First we will calculate the prime factors of 99000 and 99008.

Prime Factorization of 99000

Prime Factorization of 99008

Now multiplying the highest exponent prime factors to calculate the LCM of 99000 and 99008.

LCM(99000,99008) = 2⁶ × 3² × 5³ × 11¹ × 7¹ × 13¹ × 17¹
LCM(99000,99008) = 1225224000