Least Common Multiple of 1841 and 1848

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1841 and 1848 the smallest integer that is 486024 that is divisible by both numbers.

Least Common Multiple (LCM) of 1841 and 1848 is 486024.

LCM(1841,1848) = 486024

LCM of 1841 and 1848

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

LCM of:
and

Least Common Multiple of 1841 and 1848

LCM of 1841 and 1848 is 486024

Least common multiple can be found by multiplying the highest exponent prime factors of 1841 and 1848. First we will calculate the prime factors of 1841 and 1848.

Prime Factorization of 1841


7 1841
263 263
1

Prime factors of 1841 are 7,263. Prime factorization of 1841 in exponential form is:

1841 = 71×2631

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1841 and 1848.

LCM(1841,1848) = 23×31×71×111×2631
LCM(1841,1848) = 486024

Factors of 1841

List of positive integer factors of 1841 that divides 1841 without a remainder.

1, 7, 263, 1841

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

Least Common Multiple of 1841 and 1848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1841 and 1848, than apply into the LCM equation.

GCF(1841,1848) = 7
LCM(1841,1848) = ( 1841 × 1848) / 7
LCM(1841,1848) = 3402168 / 7
LCM(1841,1848) = 486024

Properties of LCM 1841 and 1848

(i) The LCM of 1848 and 1841 is associative

LCM of 1841 and 1848 = LCM of 1848 and 1841

Related Least Common Multiples of 1841

Related Least Common Multiples of 1848

Frequently Asked Questions on LCM of 1841 and 1848

1. What is the LCM of 1841 and 1848?

Answer: LCM of 1841 and 1848 is 486024.

2. What are the Factors of 1841?

Answer: Factors of 1841 are 1, 7, 263, 1841. There are 4 integers that are factors of 1841. The greatest factor of 1841 is 1841.

3. 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.

4. How to Find the LCM of 1841 and 1848?

Answer:

Least Common Multiple of 1841 and 1848 = 486024

Step 1: Find the prime factorization of 1841

1841 = 7 x 263

Step 2: Find the prime factorization of 1848

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

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

LCM = 486024 = 2 x 2 x 2 x 3 x 7 x 11 x 263

Step 4: Therefore, the least common multiple of 1841 and 1848 is 486024.