What is the Least Common Multiple of 14884 and 14901?

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 14884 and 14901 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14884 and 14901, than apply into the LCM equation.

GCF(14884,14901) = 1
LCM(14884,14901) = ( 14884 × 14901) / 1
LCM(14884,14901) = 221786484 / 1
LCM(14884,14901) = 221786484

Least Common Multiple (LCM) of 14884 and 14901 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14884 and 14901. First we will calculate the prime factors of 14884 and 14901.

Prime Factorization of 14884

Prime Factorization of 14901

Now multiplying the highest exponent prime factors to calculate the LCM of 14884 and 14901.

LCM(14884,14901) = 2² × 61² × 3¹ × 4967¹
LCM(14884,14901) = 221786484