What is the Least Common Multiple of 63000 and 63015?

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 63015 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 63015, than apply into the LCM equation.

GCF(63000,63015) = 15
LCM(63000,63015) = ( 63000 × 63015) / 15
LCM(63000,63015) = 3969945000 / 15
LCM(63000,63015) = 264663000

Least Common Multiple (LCM) of 63000 and 63015 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63000 and 63015. First we will calculate the prime factors of 63000 and 63015.

Prime Factorization of 63000

Prime Factorization of 63015

Now multiplying the highest exponent prime factors to calculate the LCM of 63000 and 63015.

LCM(63000,63015) = 2³ × 3² × 5³ × 7¹ × 4201¹
LCM(63000,63015) = 264663000