What is the Least Common Multiple of 63312 and 63321?

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 63312 and 63321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63312 and 63321, than apply into the LCM equation.

GCF(63312,63321) = 3
LCM(63312,63321) = ( 63312 × 63321) / 3
LCM(63312,63321) = 4008979152 / 3
LCM(63312,63321) = 1336326384

Least Common Multiple (LCM) of 63312 and 63321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63312 and 63321. First we will calculate the prime factors of 63312 and 63321.

Prime Factorization of 63312

Prime Factorization of 63321

Now multiplying the highest exponent prime factors to calculate the LCM of 63312 and 63321.

LCM(63312,63321) = 2⁴ × 3¹ × 1319¹ × 21107¹
LCM(63312,63321) = 1336326384