What is the Least Common Multiple of 98225 and 98240?

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 98240 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 98240, than apply into the LCM equation.

GCF(98225,98240) = 5
LCM(98225,98240) = ( 98225 × 98240) / 5
LCM(98225,98240) = 9649624000 / 5
LCM(98225,98240) = 1929924800

Least Common Multiple (LCM) of 98225 and 98240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98225 and 98240. First we will calculate the prime factors of 98225 and 98240.

Prime Factorization of 98225

Prime Factorization of 98240

Now multiplying the highest exponent prime factors to calculate the LCM of 98225 and 98240.

LCM(98225,98240) = 5² × 3929¹ × 2⁶ × 307¹
LCM(98225,98240) = 1929924800