What is the Least Common Multiple of 97257 and 97266?

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 97257 and 97266 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97257 and 97266, than apply into the LCM equation.

GCF(97257,97266) = 3
LCM(97257,97266) = ( 97257 × 97266) / 3
LCM(97257,97266) = 9459799362 / 3
LCM(97257,97266) = 3153266454

Least Common Multiple (LCM) of 97257 and 97266 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97257 and 97266. First we will calculate the prime factors of 97257 and 97266.

Prime Factorization of 97257

Prime Factorization of 97266

Now multiplying the highest exponent prime factors to calculate the LCM of 97257 and 97266.

LCM(97257,97266) = 3¹ × 17¹ × 1907¹ × 2¹ × 13¹ × 29¹ × 43¹
LCM(97257,97266) = 3153266454