Least Common Multiple of 1848 and 1854

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 1854 the smallest integer that is 571032 that is divisible by both numbers.

Least Common Multiple (LCM) of 1848 and 1854 is 571032.

LCM(1848,1854) = 571032

LCM of 1848 and 1854

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

LCM of:
and

Least Common Multiple of 1848 and 1854

LCM of 1848 and 1854 is 571032

Least common multiple can be found by multiplying the highest exponent prime factors of 1848 and 1854. First we will calculate the prime factors of 1848 and 1854.

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 1854


2 1854
3 927
3 309
103 103
1

Prime factors of 1854 are 2, 3,103. Prime factorization of 1854 in exponential form is:

1854 = 21×32×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 1848 and 1854.

LCM(1848,1854) = 23×32×71×111×1031
LCM(1848,1854) = 571032

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 1854

List of positive integer factors of 1854 that divides 1854 without a remainder.

1, 2, 3, 6, 9, 18, 103, 206, 309, 618, 927, 1854

Least Common Multiple of 1848 and 1854 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 1854, than apply into the LCM equation.

GCF(1848,1854) = 6
LCM(1848,1854) = ( 1848 × 1854) / 6
LCM(1848,1854) = 3426192 / 6
LCM(1848,1854) = 571032

Properties of LCM 1848 and 1854

(i) The LCM of 1854 and 1848 is associative

LCM of 1848 and 1854 = LCM of 1854 and 1848

Related Least Common Multiples of 1848

Related Least Common Multiples of 1854

Frequently Asked Questions on LCM of 1848 and 1854

1. What is the LCM of 1848 and 1854?

Answer: LCM of 1848 and 1854 is 571032.

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 1854?

Answer: Factors of 1854 are 1, 2, 3, 6, 9, 18, 103, 206, 309, 618, 927, 1854. There are 12 integers that are factors of 1854. The greatest factor of 1854 is 1854.

4. How to Find the LCM of 1848 and 1854?

Answer:

Least Common Multiple of 1848 and 1854 = 571032

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 1854

1854 = 2 x 3 x 3 x 103

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

LCM = 571032 = 2 x 2 x 2 x 3 x 3 x 7 x 11 x 103

Step 4: Therefore, the least common multiple of 1848 and 1854 is 571032.