What is the Least Common Multiple of 97256 and 97268?

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 97256 and 97268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97256 and 97268, than apply into the LCM equation.

GCF(97256,97268) = 4
LCM(97256,97268) = ( 97256 × 97268) / 4
LCM(97256,97268) = 9459896608 / 4
LCM(97256,97268) = 2364974152

Least Common Multiple (LCM) of 97256 and 97268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97256 and 97268. First we will calculate the prime factors of 97256 and 97268.

Prime Factorization of 97256

Prime Factorization of 97268

Now multiplying the highest exponent prime factors to calculate the LCM of 97256 and 97268.

LCM(97256,97268) = 2³ × 12157¹ × 24317¹
LCM(97256,97268) = 2364974152