What is the Least Common Multiple of 92835 and 92850?

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 92835 and 92850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92835 and 92850, than apply into the LCM equation.

GCF(92835,92850) = 15
LCM(92835,92850) = ( 92835 × 92850) / 15
LCM(92835,92850) = 8619729750 / 15
LCM(92835,92850) = 574648650

Least Common Multiple (LCM) of 92835 and 92850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92835 and 92850. First we will calculate the prime factors of 92835 and 92850.

Prime Factorization of 92835

Prime Factorization of 92850

Now multiplying the highest exponent prime factors to calculate the LCM of 92835 and 92850.

LCM(92835,92850) = 3² × 5² × 2063¹ × 2¹ × 619¹
LCM(92835,92850) = 574648650