Least Common Multiple of 1862 and 1869

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1862 and 1869 the smallest integer that is 497154 that is divisible by both numbers.

Least Common Multiple (LCM) of 1862 and 1869 is 497154.

LCM(1862,1869) = 497154

LCM of 1862 and 1869

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

LCM of:
and

Least Common Multiple of 1862 and 1869

LCM of 1862 and 1869 is 497154

Least common multiple can be found by multiplying the highest exponent prime factors of 1862 and 1869. First we will calculate the prime factors of 1862 and 1869.

Prime Factorization of 1862


2 1862
7 931
7 133
19 19
1

Prime factors of 1862 are 2, 7,19. Prime factorization of 1862 in exponential form is:

1862 = 21×72×191

Prime Factorization of 1869


3 1869
7 623
89 89
1

Prime factors of 1869 are 3, 7,89. Prime factorization of 1869 in exponential form is:

1869 = 31×71×891

Now multiplying the highest exponent prime factors to calculate the LCM of 1862 and 1869.

LCM(1862,1869) = 21×31×72×191×891
LCM(1862,1869) = 497154

Factors of 1862

List of positive integer factors of 1862 that divides 1862 without a remainder.

1, 2, 7, 14, 19, 38, 49, 98, 133, 266, 931, 1862

Factors of 1869

List of positive integer factors of 1869 that divides 1869 without a remainder.

1, 3, 7, 21, 89, 267, 623, 1869

Least Common Multiple of 1862 and 1869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1862 and 1869, than apply into the LCM equation.

GCF(1862,1869) = 7
LCM(1862,1869) = ( 1862 × 1869) / 7
LCM(1862,1869) = 3480078 / 7
LCM(1862,1869) = 497154

Properties of LCM 1862 and 1869

(i) The LCM of 1869 and 1862 is associative

LCM of 1862 and 1869 = LCM of 1869 and 1862

Related Least Common Multiples of 1862

Related Least Common Multiples of 1869

Frequently Asked Questions on LCM of 1862 and 1869

1. What is the LCM of 1862 and 1869?

Answer: LCM of 1862 and 1869 is 497154.

2. What are the Factors of 1862?

Answer: Factors of 1862 are 1, 2, 7, 14, 19, 38, 49, 98, 133, 266, 931, 1862. There are 12 integers that are factors of 1862. The greatest factor of 1862 is 1862.

3. What are the Factors of 1869?

Answer: Factors of 1869 are 1, 3, 7, 21, 89, 267, 623, 1869. There are 8 integers that are factors of 1869. The greatest factor of 1869 is 1869.

4. How to Find the LCM of 1862 and 1869?

Answer:

Least Common Multiple of 1862 and 1869 = 497154

Step 1: Find the prime factorization of 1862

1862 = 2 x 7 x 7 x 19

Step 2: Find the prime factorization of 1869

1869 = 3 x 7 x 89

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

LCM = 497154 = 2 x 3 x 7 x 7 x 19 x 89

Step 4: Therefore, the least common multiple of 1862 and 1869 is 497154.