What is the Least Common Multiple of 98145 and 98160?

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 98145 and 98160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98145 and 98160, than apply into the LCM equation.

GCF(98145,98160) = 15
LCM(98145,98160) = ( 98145 × 98160) / 15
LCM(98145,98160) = 9633913200 / 15
LCM(98145,98160) = 642260880

Least Common Multiple (LCM) of 98145 and 98160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98145 and 98160. First we will calculate the prime factors of 98145 and 98160.

Prime Factorization of 98145

Prime Factorization of 98160

Now multiplying the highest exponent prime factors to calculate the LCM of 98145 and 98160.

LCM(98145,98160) = 3³ × 5¹ × 727¹ × 2⁴ × 409¹
LCM(98145,98160) = 642260880