Least Common Multiple of 1864 and 1870

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 1870 the smallest integer that is 1742840 that is divisible by both numbers.

Least Common Multiple (LCM) of 1864 and 1870 is 1742840.

LCM(1864,1870) = 1742840

LCM of 1864 and 1870

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

LCM of:
and

Least Common Multiple of 1864 and 1870

LCM of 1864 and 1870 is 1742840

Least common multiple can be found by multiplying the highest exponent prime factors of 1864 and 1870. First we will calculate the prime factors of 1864 and 1870.

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 1870


2 1870
5 935
11 187
17 17
1

Prime factors of 1870 are 2, 5, 11,17. Prime factorization of 1870 in exponential form is:

1870 = 21×51×111×171

Now multiplying the highest exponent prime factors to calculate the LCM of 1864 and 1870.

LCM(1864,1870) = 23×51×111×171×2331
LCM(1864,1870) = 1742840

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 1870

List of positive integer factors of 1870 that divides 1870 without a remainder.

1, 2, 5, 10, 11, 17, 22, 34, 55, 85, 110, 170, 187, 374, 935, 1870

Least Common Multiple of 1864 and 1870 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 1870, than apply into the LCM equation.

GCF(1864,1870) = 2
LCM(1864,1870) = ( 1864 × 1870) / 2
LCM(1864,1870) = 3485680 / 2
LCM(1864,1870) = 1742840

Properties of LCM 1864 and 1870

(i) The LCM of 1870 and 1864 is associative

LCM of 1864 and 1870 = LCM of 1870 and 1864

Related Least Common Multiples of 1864

Related Least Common Multiples of 1870

Frequently Asked Questions on LCM of 1864 and 1870

1. What is the LCM of 1864 and 1870?

Answer: LCM of 1864 and 1870 is 1742840.

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 1870?

Answer: Factors of 1870 are 1, 2, 5, 10, 11, 17, 22, 34, 55, 85, 110, 170, 187, 374, 935, 1870. There are 16 integers that are factors of 1870. The greatest factor of 1870 is 1870.

4. How to Find the LCM of 1864 and 1870?

Answer:

Least Common Multiple of 1864 and 1870 = 1742840

Step 1: Find the prime factorization of 1864

1864 = 2 x 2 x 2 x 233

Step 2: Find the prime factorization of 1870

1870 = 2 x 5 x 11 x 17

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

LCM = 1742840 = 2 x 2 x 2 x 5 x 11 x 17 x 233

Step 4: Therefore, the least common multiple of 1864 and 1870 is 1742840.