Least Common Multiple of 1854 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 1854 and 1858 the smallest integer that is 1722366 that is divisible by both numbers.

Least Common Multiple (LCM) of 1854 and 1858 is 1722366.

LCM(1854,1858) = 1722366

LCM of 1854 and 1858

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

LCM of:
and

Least Common Multiple of 1854 and 1858

LCM of 1854 and 1858 is 1722366

Least common multiple can be found by multiplying the highest exponent prime factors of 1854 and 1858. First we will calculate the prime factors of 1854 and 1858.

Prime Factorization of 1854


2 1854
3 927
3 309
103 103
1

Prime factors of 1854 are 2, 3,103. Prime factorization of 1854 in exponential form is:

1854 = 21×32×1031

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 1854 and 1858.

LCM(1854,1858) = 21×32×1031×9291
LCM(1854,1858) = 1722366

Factors of 1854

List of positive integer factors of 1854 that divides 1854 without a remainder.

1, 2, 3, 6, 9, 18, 103, 206, 309, 618, 927, 1854

Factors of 1858

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

1, 2, 929, 1858

Least Common Multiple of 1854 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 1854 and 1858, than apply into the LCM equation.

GCF(1854,1858) = 2
LCM(1854,1858) = ( 1854 × 1858) / 2
LCM(1854,1858) = 3444732 / 2
LCM(1854,1858) = 1722366

Properties of LCM 1854 and 1858

(i) The LCM of 1858 and 1854 is associative

LCM of 1854 and 1858 = LCM of 1858 and 1854

Related Least Common Multiples of 1854

Related Least Common Multiples of 1858

Frequently Asked Questions on LCM of 1854 and 1858

1. What is the LCM of 1854 and 1858?

Answer: LCM of 1854 and 1858 is 1722366.

2. What are the Factors of 1854?

Answer: Factors of 1854 are 1, 2, 3, 6, 9, 18, 103, 206, 309, 618, 927, 1854. There are 12 integers that are factors of 1854. The greatest factor of 1854 is 1854.

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 1854 and 1858?

Answer:

Least Common Multiple of 1854 and 1858 = 1722366

Step 1: Find the prime factorization of 1854

1854 = 2 x 3 x 3 x 103

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 = 1722366 = 2 x 3 x 3 x 103 x 929

Step 4: Therefore, the least common multiple of 1854 and 1858 is 1722366.