Least Common Multiple of 1862 and 1868

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 1868 the smallest integer that is 1739108 that is divisible by both numbers.

Least Common Multiple (LCM) of 1862 and 1868 is 1739108.

LCM(1862,1868) = 1739108

LCM of 1862 and 1868

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

LCM of:
and

Least Common Multiple of 1862 and 1868

LCM of 1862 and 1868 is 1739108

Least common multiple can be found by multiplying the highest exponent prime factors of 1862 and 1868. First we will calculate the prime factors of 1862 and 1868.

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 1868


2 1868
2 934
467 467
1

Prime factors of 1868 are 2,467. Prime factorization of 1868 in exponential form is:

1868 = 22×4671

Now multiplying the highest exponent prime factors to calculate the LCM of 1862 and 1868.

LCM(1862,1868) = 22×72×191×4671
LCM(1862,1868) = 1739108

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 1868

List of positive integer factors of 1868 that divides 1868 without a remainder.

1, 2, 4, 467, 934, 1868

Least Common Multiple of 1862 and 1868 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 1868, than apply into the LCM equation.

GCF(1862,1868) = 2
LCM(1862,1868) = ( 1862 × 1868) / 2
LCM(1862,1868) = 3478216 / 2
LCM(1862,1868) = 1739108

Properties of LCM 1862 and 1868

(i) The LCM of 1868 and 1862 is associative

LCM of 1862 and 1868 = LCM of 1868 and 1862

Related Least Common Multiples of 1862

Related Least Common Multiples of 1868

Frequently Asked Questions on LCM of 1862 and 1868

1. What is the LCM of 1862 and 1868?

Answer: LCM of 1862 and 1868 is 1739108.

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 1868?

Answer: Factors of 1868 are 1, 2, 4, 467, 934, 1868. There are 6 integers that are factors of 1868. The greatest factor of 1868 is 1868.

4. How to Find the LCM of 1862 and 1868?

Answer:

Least Common Multiple of 1862 and 1868 = 1739108

Step 1: Find the prime factorization of 1862

1862 = 2 x 7 x 7 x 19

Step 2: Find the prime factorization of 1868

1868 = 2 x 2 x 467

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

LCM = 1739108 = 2 x 2 x 7 x 7 x 19 x 467

Step 4: Therefore, the least common multiple of 1862 and 1868 is 1739108.