What is the Least Common Multiple of 63318 and 63324?

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 63318 and 63324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63318 and 63324, than apply into the LCM equation.

GCF(63318,63324) = 6
LCM(63318,63324) = ( 63318 × 63324) / 6
LCM(63318,63324) = 4009549032 / 6
LCM(63318,63324) = 668258172

Least Common Multiple (LCM) of 63318 and 63324 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63318 and 63324. First we will calculate the prime factors of 63318 and 63324.

Prime Factorization of 63318

Prime Factorization of 63324

Now multiplying the highest exponent prime factors to calculate the LCM of 63318 and 63324.

LCM(63318,63324) = 2² × 3² × 61¹ × 173¹ × 1759¹
LCM(63318,63324) = 668258172