What is the Least Common Multiple of 63318 and 63338?

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 63338 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 63338, than apply into the LCM equation.

GCF(63318,63338) = 2
LCM(63318,63338) = ( 63318 × 63338) / 2
LCM(63318,63338) = 4010435484 / 2
LCM(63318,63338) = 2005217742

Least Common Multiple (LCM) of 63318 and 63338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63318 and 63338. First we will calculate the prime factors of 63318 and 63338.

Prime Factorization of 63318

Prime Factorization of 63338

Now multiplying the highest exponent prime factors to calculate the LCM of 63318 and 63338.

LCM(63318,63338) = 2¹ × 3¹ × 61¹ × 173¹ × 11¹ × 2879¹
LCM(63318,63338) = 2005217742