What is the Least Common Multiple of 89225 and 89240?

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 89225 and 89240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89225 and 89240, than apply into the LCM equation.

GCF(89225,89240) = 5
LCM(89225,89240) = ( 89225 × 89240) / 5
LCM(89225,89240) = 7962439000 / 5
LCM(89225,89240) = 1592487800

Least Common Multiple (LCM) of 89225 and 89240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89225 and 89240. First we will calculate the prime factors of 89225 and 89240.

Prime Factorization of 89225

Prime Factorization of 89240

Now multiplying the highest exponent prime factors to calculate the LCM of 89225 and 89240.

LCM(89225,89240) = 5² × 43¹ × 83¹ × 2³ × 23¹ × 97¹
LCM(89225,89240) = 1592487800