What is the Least Common Multiple of 97275 and 97289?

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 97275 and 97289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97275 and 97289, than apply into the LCM equation.

GCF(97275,97289) = 1
LCM(97275,97289) = ( 97275 × 97289) / 1
LCM(97275,97289) = 9463787475 / 1
LCM(97275,97289) = 9463787475

Least Common Multiple (LCM) of 97275 and 97289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97275 and 97289. First we will calculate the prime factors of 97275 and 97289.

Prime Factorization of 97275

Prime Factorization of 97289

Now multiplying the highest exponent prime factors to calculate the LCM of 97275 and 97289.

LCM(97275,97289) = 3¹ × 5² × 1297¹ × 271¹ × 359¹
LCM(97275,97289) = 9463787475