Least Common Multiple of 2859 and 2860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2859 and 2860 the smallest integer that is 8176740 that is divisible by both numbers.

Least Common Multiple (LCM) of 2859 and 2860 is 8176740.

LCM(2859,2860) = 8176740

LCM of 2859 and 2860

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

LCM of:
and

Least Common Multiple of 2859 and 2860

LCM of 2859 and 2860 is 8176740

Least common multiple can be found by multiplying the highest exponent prime factors of 2859 and 2860. First we will calculate the prime factors of 2859 and 2860.

Prime Factorization of 2859


3 2859
953 953
1

Prime factors of 2859 are 3,953. Prime factorization of 2859 in exponential form is:

2859 = 31×9531

Prime Factorization of 2860


2 2860
2 1430
5 715
11 143
13 13
1

Prime factors of 2860 are 2, 5, 11,13. Prime factorization of 2860 in exponential form is:

2860 = 22×51×111×131

Now multiplying the highest exponent prime factors to calculate the LCM of 2859 and 2860.

LCM(2859,2860) = 22×31×51×111×131×9531
LCM(2859,2860) = 8176740

Factors of 2859

List of positive integer factors of 2859 that divides 2859 without a remainder.

1, 3, 953, 2859

Factors of 2860

List of positive integer factors of 2860 that divides 2860 without a remainder.

1, 2, 4, 5, 10, 11, 13, 20, 22, 26, 44, 52, 55, 65, 110, 130, 143, 220, 260, 286, 572, 715, 1430, 2860

Least Common Multiple of 2859 and 2860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2859 and 2860, than apply into the LCM equation.

GCF(2859,2860) = 1
LCM(2859,2860) = ( 2859 × 2860) / 1
LCM(2859,2860) = 8176740 / 1
LCM(2859,2860) = 8176740

Properties of LCM 2859 and 2860

(i) The LCM of 2860 and 2859 is associative

LCM of 2859 and 2860 = LCM of 2860 and 2859

Related Least Common Multiples of 2859

Related Least Common Multiples of 2860

Frequently Asked Questions on LCM of 2859 and 2860

1. What is the LCM of 2859 and 2860?

Answer: LCM of 2859 and 2860 is 8176740.

2. What are the Factors of 2859?

Answer: Factors of 2859 are 1, 3, 953, 2859. There are 4 integers that are factors of 2859. The greatest factor of 2859 is 2859.

3. What are the Factors of 2860?

Answer: Factors of 2860 are 1, 2, 4, 5, 10, 11, 13, 20, 22, 26, 44, 52, 55, 65, 110, 130, 143, 220, 260, 286, 572, 715, 1430, 2860. There are 24 integers that are factors of 2860. The greatest factor of 2860 is 2860.

4. How to Find the LCM of 2859 and 2860?

Answer:

Least Common Multiple of 2859 and 2860 = 8176740

Step 1: Find the prime factorization of 2859

2859 = 3 x 953

Step 2: Find the prime factorization of 2860

2860 = 2 x 2 x 5 x 11 x 13

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

LCM = 8176740 = 2 x 2 x 3 x 5 x 11 x 13 x 953

Step 4: Therefore, the least common multiple of 2859 and 2860 is 8176740.