Least Common Multiple of 1848 and 1855

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1848 and 1855 the smallest integer that is 489720 that is divisible by both numbers.

Least Common Multiple (LCM) of 1848 and 1855 is 489720.

LCM(1848,1855) = 489720

LCM of 1848 and 1855

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

LCM of:
and

Least Common Multiple of 1848 and 1855

LCM of 1848 and 1855 is 489720

Least common multiple can be found by multiplying the highest exponent prime factors of 1848 and 1855. First we will calculate the prime factors of 1848 and 1855.

Prime Factorization of 1848


2 1848
2 924
2 462
3 231
7 77
11 11
1

Prime factors of 1848 are 2, 3, 7,11. Prime factorization of 1848 in exponential form is:

1848 = 23×31×71×111

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1848 and 1855.

LCM(1848,1855) = 23×31×51×71×111×531
LCM(1848,1855) = 489720

Factors of 1848

List of positive integer factors of 1848 that divides 1848 without a remainder.

1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 21, 22, 24, 28, 33, 42, 44, 56, 66, 77, 84, 88, 132, 154, 168, 231, 264, 308, 462, 616, 924, 1848

Factors of 1855

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

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

Least Common Multiple of 1848 and 1855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1848 and 1855, than apply into the LCM equation.

GCF(1848,1855) = 7
LCM(1848,1855) = ( 1848 × 1855) / 7
LCM(1848,1855) = 3428040 / 7
LCM(1848,1855) = 489720

Properties of LCM 1848 and 1855

(i) The LCM of 1855 and 1848 is associative

LCM of 1848 and 1855 = LCM of 1855 and 1848

Related Least Common Multiples of 1848

Related Least Common Multiples of 1855

Frequently Asked Questions on LCM of 1848 and 1855

1. What is the LCM of 1848 and 1855?

Answer: LCM of 1848 and 1855 is 489720.

2. What are the Factors of 1848?

Answer: Factors of 1848 are 1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 21, 22, 24, 28, 33, 42, 44, 56, 66, 77, 84, 88, 132, 154, 168, 231, 264, 308, 462, 616, 924, 1848. There are 32 integers that are factors of 1848. The greatest factor of 1848 is 1848.

3. 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.

4. How to Find the LCM of 1848 and 1855?

Answer:

Least Common Multiple of 1848 and 1855 = 489720

Step 1: Find the prime factorization of 1848

1848 = 2 x 2 x 2 x 3 x 7 x 11

Step 2: Find the prime factorization of 1855

1855 = 5 x 7 x 53

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

LCM = 489720 = 2 x 2 x 2 x 3 x 5 x 7 x 11 x 53

Step 4: Therefore, the least common multiple of 1848 and 1855 is 489720.