What is the Least Common Multiple of 17901 and 17916?

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 17901 and 17916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17901 and 17916, than apply into the LCM equation.

GCF(17901,17916) = 3
LCM(17901,17916) = ( 17901 × 17916) / 3
LCM(17901,17916) = 320714316 / 3
LCM(17901,17916) = 106904772

Least Common Multiple (LCM) of 17901 and 17916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17901 and 17916. First we will calculate the prime factors of 17901 and 17916.

Prime Factorization of 17901

Prime Factorization of 17916

Now multiplying the highest exponent prime factors to calculate the LCM of 17901 and 17916.

LCM(17901,17916) = 3⁴ × 13¹ × 17¹ × 2² × 1493¹
LCM(17901,17916) = 106904772