What is the Least Common Multiple of 97405 and 97423?

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 97405 and 97423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97405 and 97423, than apply into the LCM equation.

GCF(97405,97423) = 1
LCM(97405,97423) = ( 97405 × 97423) / 1
LCM(97405,97423) = 9489487315 / 1
LCM(97405,97423) = 9489487315

Least Common Multiple (LCM) of 97405 and 97423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97405 and 97423. First we will calculate the prime factors of 97405 and 97423.

Prime Factorization of 97405

Prime Factorization of 97423

Now multiplying the highest exponent prime factors to calculate the LCM of 97405 and 97423.

LCM(97405,97423) = 5¹ × 7¹ × 11² × 23¹ × 97423¹
LCM(97405,97423) = 9489487315