What is the Least Common Multiple of 97257 and 97274?

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 97274 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 97274, than apply into the LCM equation.

GCF(97257,97274) = 17
LCM(97257,97274) = ( 97257 × 97274) / 17
LCM(97257,97274) = 9460577418 / 17
LCM(97257,97274) = 556504554

Least Common Multiple (LCM) of 97257 and 97274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97257 and 97274. First we will calculate the prime factors of 97257 and 97274.

Prime Factorization of 97257

Prime Factorization of 97274

Now multiplying the highest exponent prime factors to calculate the LCM of 97257 and 97274.

LCM(97257,97274) = 3¹ × 17¹ × 1907¹ × 2¹ × 2861¹
LCM(97257,97274) = 556504554