Least Common Multiple of 1864 and 1871

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1864 and 1871 the smallest integer that is 3487544 that is divisible by both numbers.

Least Common Multiple (LCM) of 1864 and 1871 is 3487544.

LCM(1864,1871) = 3487544

LCM of 1864 and 1871

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

LCM of:
and

Least Common Multiple of 1864 and 1871

LCM of 1864 and 1871 is 3487544

Least common multiple can be found by multiplying the highest exponent prime factors of 1864 and 1871. First we will calculate the prime factors of 1864 and 1871.

Prime Factorization of 1864


2 1864
2 932
2 466
233 233
1

Prime factors of 1864 are 2,233. Prime factorization of 1864 in exponential form is:

1864 = 23×2331

Prime Factorization of 1871


1871 1871
1

Prime factors of 1871 are 1871. Prime factorization of 1871 in exponential form is:

1871 = 18711

Now multiplying the highest exponent prime factors to calculate the LCM of 1864 and 1871.

LCM(1864,1871) = 23×2331×18711
LCM(1864,1871) = 3487544

Factors of 1864

List of positive integer factors of 1864 that divides 1864 without a remainder.

1, 2, 4, 8, 233, 466, 932, 1864

Factors of 1871

List of positive integer factors of 1871 that divides 1871 without a remainder.

1, 1871

Least Common Multiple of 1864 and 1871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1864 and 1871, than apply into the LCM equation.

GCF(1864,1871) = 1
LCM(1864,1871) = ( 1864 × 1871) / 1
LCM(1864,1871) = 3487544 / 1
LCM(1864,1871) = 3487544

Properties of LCM 1864 and 1871

(i) The LCM of 1871 and 1864 is associative

LCM of 1864 and 1871 = LCM of 1871 and 1864

Related Least Common Multiples of 1864

Related Least Common Multiples of 1871

Frequently Asked Questions on LCM of 1864 and 1871

1. What is the LCM of 1864 and 1871?

Answer: LCM of 1864 and 1871 is 3487544.

2. What are the Factors of 1864?

Answer: Factors of 1864 are 1, 2, 4, 8, 233, 466, 932, 1864. There are 8 integers that are factors of 1864. The greatest factor of 1864 is 1864.

3. What are the Factors of 1871?

Answer: Factors of 1871 are 1, 1871. There are 2 integers that are factors of 1871. The greatest factor of 1871 is 1871.

4. How to Find the LCM of 1864 and 1871?

Answer:

Least Common Multiple of 1864 and 1871 = 3487544

Step 1: Find the prime factorization of 1864

1864 = 2 x 2 x 2 x 233

Step 2: Find the prime factorization of 1871

1871 = 1871

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

LCM = 3487544 = 2 x 2 x 2 x 233 x 1871

Step 4: Therefore, the least common multiple of 1864 and 1871 is 3487544.