Least Common Multiple of 1848 and 1851

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 1851 the smallest integer that is 1140216 that is divisible by both numbers.

Least Common Multiple (LCM) of 1848 and 1851 is 1140216.

LCM(1848,1851) = 1140216

LCM of 1848 and 1851

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

LCM of:
and

Least Common Multiple of 1848 and 1851

LCM of 1848 and 1851 is 1140216

Least common multiple can be found by multiplying the highest exponent prime factors of 1848 and 1851. First we will calculate the prime factors of 1848 and 1851.

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 1851


3 1851
617 617
1

Prime factors of 1851 are 3,617. Prime factorization of 1851 in exponential form is:

1851 = 31×6171

Now multiplying the highest exponent prime factors to calculate the LCM of 1848 and 1851.

LCM(1848,1851) = 23×31×71×111×6171
LCM(1848,1851) = 1140216

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 1851

List of positive integer factors of 1851 that divides 1851 without a remainder.

1, 3, 617, 1851

Least Common Multiple of 1848 and 1851 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 1851, than apply into the LCM equation.

GCF(1848,1851) = 3
LCM(1848,1851) = ( 1848 × 1851) / 3
LCM(1848,1851) = 3420648 / 3
LCM(1848,1851) = 1140216

Properties of LCM 1848 and 1851

(i) The LCM of 1851 and 1848 is associative

LCM of 1848 and 1851 = LCM of 1851 and 1848

Related Least Common Multiples of 1848

Related Least Common Multiples of 1851

Frequently Asked Questions on LCM of 1848 and 1851

1. What is the LCM of 1848 and 1851?

Answer: LCM of 1848 and 1851 is 1140216.

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 1851?

Answer: Factors of 1851 are 1, 3, 617, 1851. There are 4 integers that are factors of 1851. The greatest factor of 1851 is 1851.

4. How to Find the LCM of 1848 and 1851?

Answer:

Least Common Multiple of 1848 and 1851 = 1140216

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 1851

1851 = 3 x 617

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

LCM = 1140216 = 2 x 2 x 2 x 3 x 7 x 11 x 617

Step 4: Therefore, the least common multiple of 1848 and 1851 is 1140216.