Least Common Multiple of 1862 and 1867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1862 and 1867 the smallest integer that is 3476354 that is divisible by both numbers.

Least Common Multiple (LCM) of 1862 and 1867 is 3476354.

LCM(1862,1867) = 3476354

LCM of 1862 and 1867

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

LCM of:
and

Least Common Multiple of 1862 and 1867

LCM of 1862 and 1867 is 3476354

Least common multiple can be found by multiplying the highest exponent prime factors of 1862 and 1867. First we will calculate the prime factors of 1862 and 1867.

Prime Factorization of 1862


2 1862
7 931
7 133
19 19
1

Prime factors of 1862 are 2, 7,19. Prime factorization of 1862 in exponential form is:

1862 = 21×72×191

Prime Factorization of 1867


1867 1867
1

Prime factors of 1867 are 1867. Prime factorization of 1867 in exponential form is:

1867 = 18671

Now multiplying the highest exponent prime factors to calculate the LCM of 1862 and 1867.

LCM(1862,1867) = 21×72×191×18671
LCM(1862,1867) = 3476354

Factors of 1862

List of positive integer factors of 1862 that divides 1862 without a remainder.

1, 2, 7, 14, 19, 38, 49, 98, 133, 266, 931, 1862

Factors of 1867

List of positive integer factors of 1867 that divides 1867 without a remainder.

1, 1867

Least Common Multiple of 1862 and 1867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1862 and 1867, than apply into the LCM equation.

GCF(1862,1867) = 1
LCM(1862,1867) = ( 1862 × 1867) / 1
LCM(1862,1867) = 3476354 / 1
LCM(1862,1867) = 3476354

Properties of LCM 1862 and 1867

(i) The LCM of 1867 and 1862 is associative

LCM of 1862 and 1867 = LCM of 1867 and 1862

Related Least Common Multiples of 1862

Related Least Common Multiples of 1867

Frequently Asked Questions on LCM of 1862 and 1867

1. What is the LCM of 1862 and 1867?

Answer: LCM of 1862 and 1867 is 3476354.

2. What are the Factors of 1862?

Answer: Factors of 1862 are 1, 2, 7, 14, 19, 38, 49, 98, 133, 266, 931, 1862. There are 12 integers that are factors of 1862. The greatest factor of 1862 is 1862.

3. What are the Factors of 1867?

Answer: Factors of 1867 are 1, 1867. There are 2 integers that are factors of 1867. The greatest factor of 1867 is 1867.

4. How to Find the LCM of 1862 and 1867?

Answer:

Least Common Multiple of 1862 and 1867 = 3476354

Step 1: Find the prime factorization of 1862

1862 = 2 x 7 x 7 x 19

Step 2: Find the prime factorization of 1867

1867 = 1867

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

LCM = 3476354 = 2 x 7 x 7 x 19 x 1867

Step 4: Therefore, the least common multiple of 1862 and 1867 is 3476354.