What is the Least Common Multiple of 63321 and 63336?

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 63321 and 63336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63321 and 63336, than apply into the LCM equation.

GCF(63321,63336) = 3
LCM(63321,63336) = ( 63321 × 63336) / 3
LCM(63321,63336) = 4010498856 / 3
LCM(63321,63336) = 1336832952

Least Common Multiple (LCM) of 63321 and 63336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63321 and 63336. First we will calculate the prime factors of 63321 and 63336.

Prime Factorization of 63321

Prime Factorization of 63336

Now multiplying the highest exponent prime factors to calculate the LCM of 63321 and 63336.

LCM(63321,63336) = 3¹ × 21107¹ × 2³ × 7¹ × 13¹ × 29¹
LCM(63321,63336) = 1336832952