GCF and LCM Calculator Logo

What is the Least Common Multiple of 92589 and 92600?

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 (LCM) of 92589 and 92600 is 8573741400.

LCM(92589,92600) = 8573741400

LCM Calculator and
and

Least Common Multiple of 92589 and 92600 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 92600, than apply into the LCM equation.

GCF(92589,92600) = 1
LCM(92589,92600) = ( 92589 × 92600) / 1
LCM(92589,92600) = 8573741400 / 1
LCM(92589,92600) = 8573741400

Least Common Multiple (LCM) of 92589 and 92600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92589 and 92600. First we will calculate the prime factors of 92589 and 92600.

Prime Factorization of 92589

Prime factors of 92589 are 3, 7, 4409. Prime factorization of 92589 in exponential form is:

92589 = 31 × 71 × 44091

Prime Factorization of 92600

Prime factors of 92600 are 2, 5, 463. Prime factorization of 92600 in exponential form is:

92600 = 23 × 52 × 4631

Now multiplying the highest exponent prime factors to calculate the LCM of 92589 and 92600.

LCM(92589,92600) = 31 × 71 × 44091 × 23 × 52 × 4631
LCM(92589,92600) = 8573741400