Least Common Multiple of 858 and 860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 858 and 860 the smallest integer that is 368940 that is divisible by both numbers.

Least Common Multiple (LCM) of 858 and 860 is 368940.

LCM(858,860) = 368940

LCM of 858 and 860

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

LCM of:
and

Least Common Multiple of 858 and 860

LCM of 858 and 860 is 368940

Least common multiple can be found by multiplying the highest exponent prime factors of 858 and 860. First we will calculate the prime factors of 858 and 860.

Prime Factorization of 858


2 858
3 429
11 143
13 13
1

Prime factors of 858 are 2, 3, 11,13. Prime factorization of 858 in exponential form is:

858 = 21×31×111×131

Prime Factorization of 860


2 860
2 430
5 215
43 43
1

Prime factors of 860 are 2, 5,43. Prime factorization of 860 in exponential form is:

860 = 22×51×431

Now multiplying the highest exponent prime factors to calculate the LCM of 858 and 860.

LCM(858,860) = 22×31×51×111×131×431
LCM(858,860) = 368940

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Least Common Multiple of 858 and 860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 858 and 860, than apply into the LCM equation.

GCF(858,860) = 2
LCM(858,860) = ( 858 × 860) / 2
LCM(858,860) = 737880 / 2
LCM(858,860) = 368940

Properties of LCM 858 and 860

(i) The LCM of 860 and 858 is associative

LCM of 858 and 860 = LCM of 860 and 858

Related Least Common Multiples of 858

Related Least Common Multiples of 860

Frequently Asked Questions on LCM of 858 and 860

1. What is the LCM of 858 and 860?

Answer: LCM of 858 and 860 is 368940.

2. What are the Factors of 858?

Answer: Factors of 858 are 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858. There are 16 integers that are factors of 858. The greatest factor of 858 is 858.

3. What are the Factors of 860?

Answer: Factors of 860 are 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860. There are 12 integers that are factors of 860. The greatest factor of 860 is 860.

4. How to Find the LCM of 858 and 860?

Answer:

Least Common Multiple of 858 and 860 = 368940

Step 1: Find the prime factorization of 858

858 = 2 x 3 x 11 x 13

Step 2: Find the prime factorization of 860

860 = 2 x 2 x 5 x 43

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

LCM = 368940 = 2 x 2 x 3 x 5 x 11 x 13 x 43

Step 4: Therefore, the least common multiple of 858 and 860 is 368940.