Least Common Multiple of 1865 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 1865 and 1869 the smallest integer that is 3485685 that is divisible by both numbers.

Least Common Multiple (LCM) of 1865 and 1869 is 3485685.

LCM(1865,1869) = 3485685

LCM of 1865 and 1869

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

LCM of:
and

Least Common Multiple of 1865 and 1869

LCM of 1865 and 1869 is 3485685

Least common multiple can be found by multiplying the highest exponent prime factors of 1865 and 1869. First we will calculate the prime factors of 1865 and 1869.

Prime Factorization of 1865


5 1865
373 373
1

Prime factors of 1865 are 5,373. Prime factorization of 1865 in exponential form is:

1865 = 51×3731

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 1865 and 1869.

LCM(1865,1869) = 31×51×71×891×3731
LCM(1865,1869) = 3485685

Factors of 1865

List of positive integer factors of 1865 that divides 1865 without a remainder.

1, 5, 373, 1865

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 1865 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 1865 and 1869, than apply into the LCM equation.

GCF(1865,1869) = 1
LCM(1865,1869) = ( 1865 × 1869) / 1
LCM(1865,1869) = 3485685 / 1
LCM(1865,1869) = 3485685

Properties of LCM 1865 and 1869

(i) The LCM of 1869 and 1865 is associative

LCM of 1865 and 1869 = LCM of 1869 and 1865

Related Least Common Multiples of 1865

Related Least Common Multiples of 1869

Frequently Asked Questions on LCM of 1865 and 1869

1. What is the LCM of 1865 and 1869?

Answer: LCM of 1865 and 1869 is 3485685.

2. What are the Factors of 1865?

Answer: Factors of 1865 are 1, 5, 373, 1865. There are 4 integers that are factors of 1865. The greatest factor of 1865 is 1865.

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 1865 and 1869?

Answer:

Least Common Multiple of 1865 and 1869 = 3485685

Step 1: Find the prime factorization of 1865

1865 = 5 x 373

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 = 3485685 = 3 x 5 x 7 x 89 x 373

Step 4: Therefore, the least common multiple of 1865 and 1869 is 3485685.