What is the Least Common Multiple of 89500 and 89506?

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 89506 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 89506, than apply into the LCM equation.

GCF(89500,89506) = 2
LCM(89500,89506) = ( 89500 × 89506) / 2
LCM(89500,89506) = 8010787000 / 2
LCM(89500,89506) = 4005393500

Least Common Multiple (LCM) of 89500 and 89506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89500 and 89506. First we will calculate the prime factors of 89500 and 89506.

Prime Factorization of 89500

Prime Factorization of 89506

Now multiplying the highest exponent prime factors to calculate the LCM of 89500 and 89506.

LCM(89500,89506) = 2² × 5³ × 179¹ × 44753¹
LCM(89500,89506) = 4005393500