What is the Least Common Multiple of 63903 and 63918?

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 63903 and 63918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63903 and 63918, than apply into the LCM equation.

GCF(63903,63918) = 3
LCM(63903,63918) = ( 63903 × 63918) / 3
LCM(63903,63918) = 4084551954 / 3
LCM(63903,63918) = 1361517318

Least Common Multiple (LCM) of 63903 and 63918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63903 and 63918. First we will calculate the prime factors of 63903 and 63918.

Prime Factorization of 63903

Prime Factorization of 63918

Now multiplying the highest exponent prime factors to calculate the LCM of 63903 and 63918.

LCM(63903,63918) = 3² × 7¹ × 17¹ × 179¹ × 2¹ × 53¹ × 67¹
LCM(63903,63918) = 1361517318