What is the Least Common Multiple of 2835 and 2850?

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 2835 and 2850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2835 and 2850, than apply into the LCM equation.

GCF(2835,2850) = 15
LCM(2835,2850) = ( 2835 × 2850) / 15
LCM(2835,2850) = 8079750 / 15
LCM(2835,2850) = 538650

Least Common Multiple (LCM) of 2835 and 2850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2835 and 2850. First we will calculate the prime factors of 2835 and 2850.

Prime Factorization of 2835

Prime Factorization of 2850

Now multiplying the highest exponent prime factors to calculate the LCM of 2835 and 2850.

LCM(2835,2850) = 3⁴ × 5² × 7¹ × 2¹ × 19¹
LCM(2835,2850) = 538650