Least Common Multiple of 1848 and 1853

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 1853 the smallest integer that is 3424344 that is divisible by both numbers.

Least Common Multiple (LCM) of 1848 and 1853 is 3424344.

LCM(1848,1853) = 3424344

LCM of 1848 and 1853

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

LCM of:
and

Least Common Multiple of 1848 and 1853

LCM of 1848 and 1853 is 3424344

Least common multiple can be found by multiplying the highest exponent prime factors of 1848 and 1853. First we will calculate the prime factors of 1848 and 1853.

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 1853


17 1853
109 109
1

Prime factors of 1853 are 17,109. Prime factorization of 1853 in exponential form is:

1853 = 171×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 1848 and 1853.

LCM(1848,1853) = 23×31×71×111×171×1091
LCM(1848,1853) = 3424344

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 1853

List of positive integer factors of 1853 that divides 1853 without a remainder.

1, 17, 109, 1853

Least Common Multiple of 1848 and 1853 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 1853, than apply into the LCM equation.

GCF(1848,1853) = 1
LCM(1848,1853) = ( 1848 × 1853) / 1
LCM(1848,1853) = 3424344 / 1
LCM(1848,1853) = 3424344

Properties of LCM 1848 and 1853

(i) The LCM of 1853 and 1848 is associative

LCM of 1848 and 1853 = LCM of 1853 and 1848

Related Least Common Multiples of 1848

Related Least Common Multiples of 1853

Frequently Asked Questions on LCM of 1848 and 1853

1. What is the LCM of 1848 and 1853?

Answer: LCM of 1848 and 1853 is 3424344.

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 1853?

Answer: Factors of 1853 are 1, 17, 109, 1853. There are 4 integers that are factors of 1853. The greatest factor of 1853 is 1853.

4. How to Find the LCM of 1848 and 1853?

Answer:

Least Common Multiple of 1848 and 1853 = 3424344

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 1853

1853 = 17 x 109

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

LCM = 3424344 = 2 x 2 x 2 x 3 x 7 x 11 x 17 x 109

Step 4: Therefore, the least common multiple of 1848 and 1853 is 3424344.