What is the Least Common Multiple of 97429 and 97441?

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 97429 and 97441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97429 and 97441, than apply into the LCM equation.

GCF(97429,97441) = 1
LCM(97429,97441) = ( 97429 × 97441) / 1
LCM(97429,97441) = 9493579189 / 1
LCM(97429,97441) = 9493579189

Least Common Multiple (LCM) of 97429 and 97441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97429 and 97441. First we will calculate the prime factors of 97429 and 97441.

Prime Factorization of 97429

Prime Factorization of 97441

Now multiplying the highest exponent prime factors to calculate the LCM of 97429 and 97441.

LCM(97429,97441) = 97429¹ × 97441¹
LCM(97429,97441) = 9493579189