GCF and LCM Calculator Logo

What is the Least Common Multiple of 92872 and 92887?

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 92872 and 92887 is 8626601464.

LCM(92872,92887) = 8626601464

LCM Calculator and
and

Least Common Multiple of 92872 and 92887 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92872 and 92887, than apply into the LCM equation.

GCF(92872,92887) = 1
LCM(92872,92887) = ( 92872 × 92887) / 1
LCM(92872,92887) = 8626601464 / 1
LCM(92872,92887) = 8626601464

Least Common Multiple (LCM) of 92872 and 92887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92872 and 92887. First we will calculate the prime factors of 92872 and 92887.

Prime Factorization of 92872

Prime factors of 92872 are 2, 13, 19, 47. Prime factorization of 92872 in exponential form is:

92872 = 23 × 131 × 191 × 471

Prime Factorization of 92887

Prime factors of 92887 are 29, 3203. Prime factorization of 92887 in exponential form is:

92887 = 291 × 32031

Now multiplying the highest exponent prime factors to calculate the LCM of 92872 and 92887.

LCM(92872,92887) = 23 × 131 × 191 × 471 × 291 × 32031
LCM(92872,92887) = 8626601464