Least Common Multiple of 1869 and 1873

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1869 and 1873 the smallest integer that is 3500637 that is divisible by both numbers.

Least Common Multiple (LCM) of 1869 and 1873 is 3500637.

LCM(1869,1873) = 3500637

LCM of 1869 and 1873

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

LCM of:
and

Least Common Multiple of 1869 and 1873

LCM of 1869 and 1873 is 3500637

Least common multiple can be found by multiplying the highest exponent prime factors of 1869 and 1873. First we will calculate the prime factors of 1869 and 1873.

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

Prime Factorization of 1873


1873 1873
1

Prime factors of 1873 are 1873. Prime factorization of 1873 in exponential form is:

1873 = 18731

Now multiplying the highest exponent prime factors to calculate the LCM of 1869 and 1873.

LCM(1869,1873) = 31×71×891×18731
LCM(1869,1873) = 3500637

Factors of 1869

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

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

Factors of 1873

List of positive integer factors of 1873 that divides 1873 without a remainder.

1, 1873

Least Common Multiple of 1869 and 1873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1869 and 1873, than apply into the LCM equation.

GCF(1869,1873) = 1
LCM(1869,1873) = ( 1869 × 1873) / 1
LCM(1869,1873) = 3500637 / 1
LCM(1869,1873) = 3500637

Properties of LCM 1869 and 1873

(i) The LCM of 1873 and 1869 is associative

LCM of 1869 and 1873 = LCM of 1873 and 1869

Related Least Common Multiples of 1869

Related Least Common Multiples of 1873

Frequently Asked Questions on LCM of 1869 and 1873

1. What is the LCM of 1869 and 1873?

Answer: LCM of 1869 and 1873 is 3500637.

2. 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.

3. What are the Factors of 1873?

Answer: Factors of 1873 are 1, 1873. There are 2 integers that are factors of 1873. The greatest factor of 1873 is 1873.

4. How to Find the LCM of 1869 and 1873?

Answer:

Least Common Multiple of 1869 and 1873 = 3500637

Step 1: Find the prime factorization of 1869

1869 = 3 x 7 x 89

Step 2: Find the prime factorization of 1873

1873 = 1873

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

LCM = 3500637 = 3 x 7 x 89 x 1873

Step 4: Therefore, the least common multiple of 1869 and 1873 is 3500637.