Least Common Multiple of 1853 and 1858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1853 and 1858 the smallest integer that is 3442874 that is divisible by both numbers.

Least Common Multiple (LCM) of 1853 and 1858 is 3442874.

LCM(1853,1858) = 3442874

LCM of 1853 and 1858

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

LCM of:
and

Least Common Multiple of 1853 and 1858

LCM of 1853 and 1858 is 3442874

Least common multiple can be found by multiplying the highest exponent prime factors of 1853 and 1858. First we will calculate the prime factors of 1853 and 1858.

Prime Factorization of 1853


17 1853
109 109
1

Prime factors of 1853 are 17,109. Prime factorization of 1853 in exponential form is:

1853 = 171×1091

Prime Factorization of 1858


2 1858
929 929
1

Prime factors of 1858 are 2,929. Prime factorization of 1858 in exponential form is:

1858 = 21×9291

Now multiplying the highest exponent prime factors to calculate the LCM of 1853 and 1858.

LCM(1853,1858) = 21×171×1091×9291
LCM(1853,1858) = 3442874

Factors of 1853

List of positive integer factors of 1853 that divides 1853 without a remainder.

1, 17, 109, 1853

Factors of 1858

List of positive integer factors of 1858 that divides 1858 without a remainder.

1, 2, 929, 1858

Least Common Multiple of 1853 and 1858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1853 and 1858, than apply into the LCM equation.

GCF(1853,1858) = 1
LCM(1853,1858) = ( 1853 × 1858) / 1
LCM(1853,1858) = 3442874 / 1
LCM(1853,1858) = 3442874

Properties of LCM 1853 and 1858

(i) The LCM of 1858 and 1853 is associative

LCM of 1853 and 1858 = LCM of 1858 and 1853

Related Least Common Multiples of 1853

Related Least Common Multiples of 1858

Frequently Asked Questions on LCM of 1853 and 1858

1. What is the LCM of 1853 and 1858?

Answer: LCM of 1853 and 1858 is 3442874.

2. What are the Factors of 1853?

Answer: Factors of 1853 are 1, 17, 109, 1853. There are 4 integers that are factors of 1853. The greatest factor of 1853 is 1853.

3. What are the Factors of 1858?

Answer: Factors of 1858 are 1, 2, 929, 1858. There are 4 integers that are factors of 1858. The greatest factor of 1858 is 1858.

4. How to Find the LCM of 1853 and 1858?

Answer:

Least Common Multiple of 1853 and 1858 = 3442874

Step 1: Find the prime factorization of 1853

1853 = 17 x 109

Step 2: Find the prime factorization of 1858

1858 = 2 x 929

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

LCM = 3442874 = 2 x 17 x 109 x 929

Step 4: Therefore, the least common multiple of 1853 and 1858 is 3442874.