What is the Least Common Multiple of 89500 and 89504?

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 89500 and 89504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89500 and 89504, than apply into the LCM equation.

GCF(89500,89504) = 4
LCM(89500,89504) = ( 89500 × 89504) / 4
LCM(89500,89504) = 8010608000 / 4
LCM(89500,89504) = 2002652000

Least Common Multiple (LCM) of 89500 and 89504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89500 and 89504. First we will calculate the prime factors of 89500 and 89504.

Prime Factorization of 89500

Prime Factorization of 89504

Now multiplying the highest exponent prime factors to calculate the LCM of 89500 and 89504.

LCM(89500,89504) = 2⁵ × 5³ × 179¹ × 2797¹
LCM(89500,89504) = 2002652000