What is the Least Common Multiple of 98225 and 98230?

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 98225 and 98230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98225 and 98230, than apply into the LCM equation.

GCF(98225,98230) = 5
LCM(98225,98230) = ( 98225 × 98230) / 5
LCM(98225,98230) = 9648641750 / 5
LCM(98225,98230) = 1929728350

Least Common Multiple (LCM) of 98225 and 98230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98225 and 98230. First we will calculate the prime factors of 98225 and 98230.

Prime Factorization of 98225

Prime Factorization of 98230

Now multiplying the highest exponent prime factors to calculate the LCM of 98225 and 98230.

LCM(98225,98230) = 5² × 3929¹ × 2¹ × 11¹ × 19¹ × 47¹
LCM(98225,98230) = 1929728350