What is the Least Common Multiple of 89220 and 89225?

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 89220 and 89225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89220 and 89225, than apply into the LCM equation.

GCF(89220,89225) = 5
LCM(89220,89225) = ( 89220 × 89225) / 5
LCM(89220,89225) = 7960654500 / 5
LCM(89220,89225) = 1592130900

Least Common Multiple (LCM) of 89220 and 89225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89220 and 89225. First we will calculate the prime factors of 89220 and 89225.

Prime Factorization of 89220

Prime Factorization of 89225

Now multiplying the highest exponent prime factors to calculate the LCM of 89220 and 89225.

LCM(89220,89225) = 2² × 3¹ × 5² × 1487¹ × 43¹ × 83¹
LCM(89220,89225) = 1592130900