What is the Least Common Multiple of 97117 and 97129?

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 97117 and 97129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97117 and 97129, than apply into the LCM equation.

GCF(97117,97129) = 1
LCM(97117,97129) = ( 97117 × 97129) / 1
LCM(97117,97129) = 9432877093 / 1
LCM(97117,97129) = 9432877093

Least Common Multiple (LCM) of 97117 and 97129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97117 and 97129. First we will calculate the prime factors of 97117 and 97129.

Prime Factorization of 97117

Prime Factorization of 97129

Now multiplying the highest exponent prime factors to calculate the LCM of 97117 and 97129.

LCM(97117,97129) = 97117¹ × 23¹ × 41¹ × 103¹
LCM(97117,97129) = 9432877093