Least Common Multiple of 1852 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 1852 and 1858 the smallest integer that is 1720508 that is divisible by both numbers.

Least Common Multiple (LCM) of 1852 and 1858 is 1720508.

LCM(1852,1858) = 1720508

LCM of 1852 and 1858

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

LCM of:
and

Least Common Multiple of 1852 and 1858

LCM of 1852 and 1858 is 1720508

Least common multiple can be found by multiplying the highest exponent prime factors of 1852 and 1858. First we will calculate the prime factors of 1852 and 1858.

Prime Factorization of 1852


2 1852
2 926
463 463
1

Prime factors of 1852 are 2,463. Prime factorization of 1852 in exponential form is:

1852 = 22×4631

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 1852 and 1858.

LCM(1852,1858) = 22×4631×9291
LCM(1852,1858) = 1720508

Factors of 1852

List of positive integer factors of 1852 that divides 1852 without a remainder.

1, 2, 4, 463, 926, 1852

Factors of 1858

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

1, 2, 929, 1858

Least Common Multiple of 1852 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 1852 and 1858, than apply into the LCM equation.

GCF(1852,1858) = 2
LCM(1852,1858) = ( 1852 × 1858) / 2
LCM(1852,1858) = 3441016 / 2
LCM(1852,1858) = 1720508

Properties of LCM 1852 and 1858

(i) The LCM of 1858 and 1852 is associative

LCM of 1852 and 1858 = LCM of 1858 and 1852

Related Least Common Multiples of 1852

Related Least Common Multiples of 1858

Frequently Asked Questions on LCM of 1852 and 1858

1. What is the LCM of 1852 and 1858?

Answer: LCM of 1852 and 1858 is 1720508.

2. What are the Factors of 1852?

Answer: Factors of 1852 are 1, 2, 4, 463, 926, 1852. There are 6 integers that are factors of 1852. The greatest factor of 1852 is 1852.

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 1852 and 1858?

Answer:

Least Common Multiple of 1852 and 1858 = 1720508

Step 1: Find the prime factorization of 1852

1852 = 2 x 2 x 463

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 = 1720508 = 2 x 2 x 463 x 929

Step 4: Therefore, the least common multiple of 1852 and 1858 is 1720508.