What is the Least Common Multiple of 98160 and 98175?

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 98160 and 98175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98160 and 98175, than apply into the LCM equation.

GCF(98160,98175) = 15
LCM(98160,98175) = ( 98160 × 98175) / 15
LCM(98160,98175) = 9636858000 / 15
LCM(98160,98175) = 642457200

Least Common Multiple (LCM) of 98160 and 98175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98160 and 98175. First we will calculate the prime factors of 98160 and 98175.

Prime Factorization of 98160

Prime Factorization of 98175

Now multiplying the highest exponent prime factors to calculate the LCM of 98160 and 98175.

LCM(98160,98175) = 2⁴ × 3¹ × 5² × 409¹ × 7¹ × 11¹ × 17¹
LCM(98160,98175) = 642457200