What is the Least Common Multiple of 52902 and 52917?

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 52902 and 52917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52902 and 52917, than apply into the LCM equation.

GCF(52902,52917) = 3
LCM(52902,52917) = ( 52902 × 52917) / 3
LCM(52902,52917) = 2799415134 / 3
LCM(52902,52917) = 933138378

Least Common Multiple (LCM) of 52902 and 52917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52902 and 52917. First we will calculate the prime factors of 52902 and 52917.

Prime Factorization of 52902

Prime Factorization of 52917

Now multiplying the highest exponent prime factors to calculate the LCM of 52902 and 52917.

LCM(52902,52917) = 2¹ × 3² × 2939¹ × 31¹ × 569¹
LCM(52902,52917) = 933138378