What is the Least Common Multiple of 97239 and 97257?

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 97239 and 97257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97239 and 97257, than apply into the LCM equation.

GCF(97239,97257) = 3
LCM(97239,97257) = ( 97239 × 97257) / 3
LCM(97239,97257) = 9457173423 / 3
LCM(97239,97257) = 3152391141

Least Common Multiple (LCM) of 97239 and 97257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97239 and 97257. First we will calculate the prime factors of 97239 and 97257.

Prime Factorization of 97239

Prime Factorization of 97257

Now multiplying the highest exponent prime factors to calculate the LCM of 97239 and 97257.

LCM(97239,97257) = 3¹ × 32413¹ × 17¹ × 1907¹
LCM(97239,97257) = 3152391141