What is the Least Common Multiple of 63909 and 63916?

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 63916 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 63916, than apply into the LCM equation.

GCF(63909,63916) = 1
LCM(63909,63916) = ( 63909 × 63916) / 1
LCM(63909,63916) = 4084807644 / 1
LCM(63909,63916) = 4084807644

Least Common Multiple (LCM) of 63909 and 63916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63909 and 63916. First we will calculate the prime factors of 63909 and 63916.

Prime Factorization of 63909

Prime Factorization of 63916

Now multiplying the highest exponent prime factors to calculate the LCM of 63909 and 63916.

LCM(63909,63916) = 3⁵ × 263¹ × 2² × 19¹ × 29²
LCM(63909,63916) = 4084807644