What is the Least Common Multiple of 63336 and 63345?

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 63336 and 63345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63336 and 63345, than apply into the LCM equation.

GCF(63336,63345) = 3
LCM(63336,63345) = ( 63336 × 63345) / 3
LCM(63336,63345) = 4012018920 / 3
LCM(63336,63345) = 1337339640

Least Common Multiple (LCM) of 63336 and 63345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63336 and 63345. First we will calculate the prime factors of 63336 and 63345.

Prime Factorization of 63336

Prime Factorization of 63345

Now multiplying the highest exponent prime factors to calculate the LCM of 63336 and 63345.

LCM(63336,63345) = 2³ × 3¹ × 7¹ × 13¹ × 29¹ × 5¹ × 41¹ × 103¹
LCM(63336,63345) = 1337339640