What is the Least Common Multiple of 92589 and 92596?

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 92589 and 92596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92589 and 92596, than apply into the LCM equation.

GCF(92589,92596) = 7
LCM(92589,92596) = ( 92589 × 92596) / 7
LCM(92589,92596) = 8573371044 / 7
LCM(92589,92596) = 1224767292

Least Common Multiple (LCM) of 92589 and 92596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92589 and 92596. First we will calculate the prime factors of 92589 and 92596.

Prime Factorization of 92589

Prime Factorization of 92596

Now multiplying the highest exponent prime factors to calculate the LCM of 92589 and 92596.

LCM(92589,92596) = 3¹ × 7¹ × 4409¹ × 2² × 3307¹
LCM(92589,92596) = 1224767292