What is the Least Common Multiple of 89835 and 89850?

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 89835 and 89850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89835 and 89850, than apply into the LCM equation.

GCF(89835,89850) = 15
LCM(89835,89850) = ( 89835 × 89850) / 15
LCM(89835,89850) = 8071674750 / 15
LCM(89835,89850) = 538111650

Least Common Multiple (LCM) of 89835 and 89850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89835 and 89850. First we will calculate the prime factors of 89835 and 89850.

Prime Factorization of 89835

Prime Factorization of 89850

Now multiplying the highest exponent prime factors to calculate the LCM of 89835 and 89850.

LCM(89835,89850) = 3¹ × 5² × 53¹ × 113¹ × 2¹ × 599¹
LCM(89835,89850) = 538111650