What is the Least Common Multiple of 97902 and 97917?

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 97902 and 97917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97902 and 97917, than apply into the LCM equation.

GCF(97902,97917) = 3
LCM(97902,97917) = ( 97902 × 97917) / 3
LCM(97902,97917) = 9586270134 / 3
LCM(97902,97917) = 3195423378

Least Common Multiple (LCM) of 97902 and 97917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97902 and 97917. First we will calculate the prime factors of 97902 and 97917.

Prime Factorization of 97902

Prime Factorization of 97917

Now multiplying the highest exponent prime factors to calculate the LCM of 97902 and 97917.

LCM(97902,97917) = 2¹ × 3³ × 7² × 37¹ × 127¹ × 257¹
LCM(97902,97917) = 3195423378