Least Common Multiple of 859 and 862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 859 and 862 the smallest integer that is 740458 that is divisible by both numbers.

Least Common Multiple (LCM) of 859 and 862 is 740458.

LCM(859,862) = 740458

LCM of 859 and 862

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 859 and 862

LCM of 859 and 862 is 740458

Least common multiple can be found by multiplying the highest exponent prime factors of 859 and 862. First we will calculate the prime factors of 859 and 862.

Prime Factorization of 859


859 859
1

Prime factors of 859 are 859. Prime factorization of 859 in exponential form is:

859 = 8591

Prime Factorization of 862


2 862
431 431
1

Prime factors of 862 are 2,431. Prime factorization of 862 in exponential form is:

862 = 21×4311

Now multiplying the highest exponent prime factors to calculate the LCM of 859 and 862.

LCM(859,862) = 21×4311×8591
LCM(859,862) = 740458

Factors of 859

List of positive integer factors of 859 that divides 859 without a remainder.

1, 859

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1, 2, 431, 862

Least Common Multiple of 859 and 862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 859 and 862, than apply into the LCM equation.

GCF(859,862) = 1
LCM(859,862) = ( 859 × 862) / 1
LCM(859,862) = 740458 / 1
LCM(859,862) = 740458

Properties of LCM 859 and 862

(i) The LCM of 862 and 859 is associative

LCM of 859 and 862 = LCM of 862 and 859

Related Least Common Multiples of 859

Related Least Common Multiples of 862

Frequently Asked Questions on LCM of 859 and 862

1. What is the LCM of 859 and 862?

Answer: LCM of 859 and 862 is 740458.

2. What are the Factors of 859?

Answer: Factors of 859 are 1, 859. There are 2 integers that are factors of 859. The greatest factor of 859 is 859.

3. What are the Factors of 862?

Answer: Factors of 862 are 1, 2, 431, 862. There are 4 integers that are factors of 862. The greatest factor of 862 is 862.

4. How to Find the LCM of 859 and 862?

Answer:

Least Common Multiple of 859 and 862 = 740458

Step 1: Find the prime factorization of 859

859 = 859

Step 2: Find the prime factorization of 862

862 = 2 x 431

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 740458 = 2 x 431 x 859

Step 4: Therefore, the least common multiple of 859 and 862 is 740458.