What is the Least Common Multiple of 63282 and 63296?

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 63282 and 63296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63282 and 63296, than apply into the LCM equation.

GCF(63282,63296) = 2
LCM(63282,63296) = ( 63282 × 63296) / 2
LCM(63282,63296) = 4005497472 / 2
LCM(63282,63296) = 2002748736

Least Common Multiple (LCM) of 63282 and 63296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63282 and 63296. First we will calculate the prime factors of 63282 and 63296.

Prime Factorization of 63282

Prime Factorization of 63296

Now multiplying the highest exponent prime factors to calculate the LCM of 63282 and 63296.

LCM(63282,63296) = 2⁶ × 3¹ × 53¹ × 199¹ × 23¹ × 43¹
LCM(63282,63296) = 2002748736