What is the Least Common Multiple of 63483 and 63495?

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 63483 and 63495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63483 and 63495, than apply into the LCM equation.

GCF(63483,63495) = 3
LCM(63483,63495) = ( 63483 × 63495) / 3
LCM(63483,63495) = 4030853085 / 3
LCM(63483,63495) = 1343617695

Least Common Multiple (LCM) of 63483 and 63495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63483 and 63495. First we will calculate the prime factors of 63483 and 63495.

Prime Factorization of 63483

Prime Factorization of 63495

Now multiplying the highest exponent prime factors to calculate the LCM of 63483 and 63495.

LCM(63483,63495) = 3² × 7¹ × 3023¹ × 5¹ × 17¹ × 83¹
LCM(63483,63495) = 1343617695