What is the Least Common Multiple of 14819 and 14833?

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 14819 and 14833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14819 and 14833, than apply into the LCM equation.

GCF(14819,14833) = 7
LCM(14819,14833) = ( 14819 × 14833) / 7
LCM(14819,14833) = 219810227 / 7
LCM(14819,14833) = 31401461

Least Common Multiple (LCM) of 14819 and 14833 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14819 and 14833. First we will calculate the prime factors of 14819 and 14833.

Prime Factorization of 14819

Prime Factorization of 14833

Now multiplying the highest exponent prime factors to calculate the LCM of 14819 and 14833.

LCM(14819,14833) = 7¹ × 29¹ × 73¹ × 13¹ × 163¹
LCM(14819,14833) = 31401461