What is the Least Common Multiple of 63000 and 63017?

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 63000 and 63017 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63000 and 63017, than apply into the LCM equation.

GCF(63000,63017) = 1
LCM(63000,63017) = ( 63000 × 63017) / 1
LCM(63000,63017) = 3970071000 / 1
LCM(63000,63017) = 3970071000

Least Common Multiple (LCM) of 63000 and 63017 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63000 and 63017. First we will calculate the prime factors of 63000 and 63017.

Prime Factorization of 63000

Prime Factorization of 63017

Now multiplying the highest exponent prime factors to calculate the LCM of 63000 and 63017.

LCM(63000,63017) = 2³ × 3² × 5³ × 7¹ × 29¹ × 41¹ × 53¹
LCM(63000,63017) = 3970071000