What is the Least Common Multiple of 97257 and 97267?

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 97267 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 97267, than apply into the LCM equation.

GCF(97257,97267) = 1
LCM(97257,97267) = ( 97257 × 97267) / 1
LCM(97257,97267) = 9459896619 / 1
LCM(97257,97267) = 9459896619

Least Common Multiple (LCM) of 97257 and 97267 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97257 and 97267. First we will calculate the prime factors of 97257 and 97267.

Prime Factorization of 97257

Prime Factorization of 97267

Now multiplying the highest exponent prime factors to calculate the LCM of 97257 and 97267.

LCM(97257,97267) = 3¹ × 17¹ × 1907¹ × 23¹ × 4229¹
LCM(97257,97267) = 9459896619