What is the Least Common Multiple of 63909 and 63915?

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 63909 and 63915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63909 and 63915, than apply into the LCM equation.

GCF(63909,63915) = 3
LCM(63909,63915) = ( 63909 × 63915) / 3
LCM(63909,63915) = 4084743735 / 3
LCM(63909,63915) = 1361581245

Least Common Multiple (LCM) of 63909 and 63915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63909 and 63915. First we will calculate the prime factors of 63909 and 63915.

Prime Factorization of 63909

Prime Factorization of 63915

Now multiplying the highest exponent prime factors to calculate the LCM of 63909 and 63915.

LCM(63909,63915) = 3⁵ × 263¹ × 5¹ × 4261¹
LCM(63909,63915) = 1361581245