What is the Least Common Multiple of 92855 and 92869?

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 92855 and 92869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92855 and 92869, than apply into the LCM equation.

GCF(92855,92869) = 7
LCM(92855,92869) = ( 92855 × 92869) / 7
LCM(92855,92869) = 8623350995 / 7
LCM(92855,92869) = 1231907285

Least Common Multiple (LCM) of 92855 and 92869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92855 and 92869. First we will calculate the prime factors of 92855 and 92869.

Prime Factorization of 92855

Prime Factorization of 92869

Now multiplying the highest exponent prime factors to calculate the LCM of 92855 and 92869.

LCM(92855,92869) = 5¹ × 7² × 379¹ × 13267¹
LCM(92855,92869) = 1231907285