Least Common Multiple of 1848 and 1852

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 1852 the smallest integer that is 855624 that is divisible by both numbers.

Least Common Multiple (LCM) of 1848 and 1852 is 855624.

LCM(1848,1852) = 855624

LCM of 1848 and 1852

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

LCM of:
and

Least Common Multiple of 1848 and 1852

LCM of 1848 and 1852 is 855624

Least common multiple can be found by multiplying the highest exponent prime factors of 1848 and 1852. First we will calculate the prime factors of 1848 and 1852.

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 1852


2 1852
2 926
463 463
1

Prime factors of 1852 are 2,463. Prime factorization of 1852 in exponential form is:

1852 = 22×4631

Now multiplying the highest exponent prime factors to calculate the LCM of 1848 and 1852.

LCM(1848,1852) = 23×31×71×111×4631
LCM(1848,1852) = 855624

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 1852

List of positive integer factors of 1852 that divides 1852 without a remainder.

1, 2, 4, 463, 926, 1852

Least Common Multiple of 1848 and 1852 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 1852, than apply into the LCM equation.

GCF(1848,1852) = 4
LCM(1848,1852) = ( 1848 × 1852) / 4
LCM(1848,1852) = 3422496 / 4
LCM(1848,1852) = 855624

Properties of LCM 1848 and 1852

(i) The LCM of 1852 and 1848 is associative

LCM of 1848 and 1852 = LCM of 1852 and 1848

Related Least Common Multiples of 1848

Related Least Common Multiples of 1852

Frequently Asked Questions on LCM of 1848 and 1852

1. What is the LCM of 1848 and 1852?

Answer: LCM of 1848 and 1852 is 855624.

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 1852?

Answer: Factors of 1852 are 1, 2, 4, 463, 926, 1852. There are 6 integers that are factors of 1852. The greatest factor of 1852 is 1852.

4. How to Find the LCM of 1848 and 1852?

Answer:

Least Common Multiple of 1848 and 1852 = 855624

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 1852

1852 = 2 x 2 x 463

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

LCM = 855624 = 2 x 2 x 2 x 3 x 7 x 11 x 463

Step 4: Therefore, the least common multiple of 1848 and 1852 is 855624.