What is the Least Common Multiple of 92850 and 92859?

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 92850 and 92859 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92850 and 92859, than apply into the LCM equation.

GCF(92850,92859) = 3
LCM(92850,92859) = ( 92850 × 92859) / 3
LCM(92850,92859) = 8621958150 / 3
LCM(92850,92859) = 2873986050

Least Common Multiple (LCM) of 92850 and 92859 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92850 and 92859. First we will calculate the prime factors of 92850 and 92859.

Prime Factorization of 92850

Prime Factorization of 92859

Now multiplying the highest exponent prime factors to calculate the LCM of 92850 and 92859.

LCM(92850,92859) = 2¹ × 3¹ × 5² × 619¹ × 13¹ × 2381¹
LCM(92850,92859) = 2873986050