Least Common Multiple of 1853 and 1861

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 1861 the smallest integer that is 3448433 that is divisible by both numbers.

Least Common Multiple (LCM) of 1853 and 1861 is 3448433.

LCM(1853,1861) = 3448433

LCM of 1853 and 1861

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

LCM of:
and

Least Common Multiple of 1853 and 1861

LCM of 1853 and 1861 is 3448433

Least common multiple can be found by multiplying the highest exponent prime factors of 1853 and 1861. First we will calculate the prime factors of 1853 and 1861.

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 1861


1861 1861
1

Prime factors of 1861 are 1861. Prime factorization of 1861 in exponential form is:

1861 = 18611

Now multiplying the highest exponent prime factors to calculate the LCM of 1853 and 1861.

LCM(1853,1861) = 171×1091×18611
LCM(1853,1861) = 3448433

Factors of 1853

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

1, 17, 109, 1853

Factors of 1861

List of positive integer factors of 1861 that divides 1861 without a remainder.

1, 1861

Least Common Multiple of 1853 and 1861 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 1861, than apply into the LCM equation.

GCF(1853,1861) = 1
LCM(1853,1861) = ( 1853 × 1861) / 1
LCM(1853,1861) = 3448433 / 1
LCM(1853,1861) = 3448433

Properties of LCM 1853 and 1861

(i) The LCM of 1861 and 1853 is associative

LCM of 1853 and 1861 = LCM of 1861 and 1853

Related Least Common Multiples of 1853

Related Least Common Multiples of 1861

Frequently Asked Questions on LCM of 1853 and 1861

1. What is the LCM of 1853 and 1861?

Answer: LCM of 1853 and 1861 is 3448433.

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 1861?

Answer: Factors of 1861 are 1, 1861. There are 2 integers that are factors of 1861. The greatest factor of 1861 is 1861.

4. How to Find the LCM of 1853 and 1861?

Answer:

Least Common Multiple of 1853 and 1861 = 3448433

Step 1: Find the prime factorization of 1853

1853 = 17 x 109

Step 2: Find the prime factorization of 1861

1861 = 1861

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

LCM = 3448433 = 17 x 109 x 1861

Step 4: Therefore, the least common multiple of 1853 and 1861 is 3448433.