Least Common Multiple of 1855 and 1860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1855 and 1860 the smallest integer that is 690060 that is divisible by both numbers.

Least Common Multiple (LCM) of 1855 and 1860 is 690060.

LCM(1855,1860) = 690060

LCM of 1855 and 1860

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

LCM of:
and

Least Common Multiple of 1855 and 1860

LCM of 1855 and 1860 is 690060

Least common multiple can be found by multiplying the highest exponent prime factors of 1855 and 1860. First we will calculate the prime factors of 1855 and 1860.

Prime Factorization of 1855


5 1855
7 371
53 53
1

Prime factors of 1855 are 5, 7,53. Prime factorization of 1855 in exponential form is:

1855 = 51×71×531

Prime Factorization of 1860


2 1860
2 930
3 465
5 155
31 31
1

Prime factors of 1860 are 2, 3, 5,31. Prime factorization of 1860 in exponential form is:

1860 = 22×31×51×311

Now multiplying the highest exponent prime factors to calculate the LCM of 1855 and 1860.

LCM(1855,1860) = 22×31×51×71×311×531
LCM(1855,1860) = 690060

Factors of 1855

List of positive integer factors of 1855 that divides 1855 without a remainder.

1, 5, 7, 35, 53, 265, 371, 1855

Factors of 1860

List of positive integer factors of 1860 that divides 1860 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 31, 60, 62, 93, 124, 155, 186, 310, 372, 465, 620, 930, 1860

Least Common Multiple of 1855 and 1860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1855 and 1860, than apply into the LCM equation.

GCF(1855,1860) = 5
LCM(1855,1860) = ( 1855 × 1860) / 5
LCM(1855,1860) = 3450300 / 5
LCM(1855,1860) = 690060

Properties of LCM 1855 and 1860

(i) The LCM of 1860 and 1855 is associative

LCM of 1855 and 1860 = LCM of 1860 and 1855

Related Least Common Multiples of 1855

Related Least Common Multiples of 1860

Frequently Asked Questions on LCM of 1855 and 1860

1. What is the LCM of 1855 and 1860?

Answer: LCM of 1855 and 1860 is 690060.

2. What are the Factors of 1855?

Answer: Factors of 1855 are 1, 5, 7, 35, 53, 265, 371, 1855. There are 8 integers that are factors of 1855. The greatest factor of 1855 is 1855.

3. What are the Factors of 1860?

Answer: Factors of 1860 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 31, 60, 62, 93, 124, 155, 186, 310, 372, 465, 620, 930, 1860. There are 24 integers that are factors of 1860. The greatest factor of 1860 is 1860.

4. How to Find the LCM of 1855 and 1860?

Answer:

Least Common Multiple of 1855 and 1860 = 690060

Step 1: Find the prime factorization of 1855

1855 = 5 x 7 x 53

Step 2: Find the prime factorization of 1860

1860 = 2 x 2 x 3 x 5 x 31

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

LCM = 690060 = 2 x 2 x 3 x 5 x 7 x 31 x 53

Step 4: Therefore, the least common multiple of 1855 and 1860 is 690060.