Least Common Multiple of 874 and 882

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 874 and 882 the smallest integer that is 385434 that is divisible by both numbers.

Least Common Multiple (LCM) of 874 and 882 is 385434.

LCM(874,882) = 385434

LCM of 874 and 882

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

LCM of:
and

Least Common Multiple of 874 and 882

LCM of 874 and 882 is 385434

Least common multiple can be found by multiplying the highest exponent prime factors of 874 and 882. First we will calculate the prime factors of 874 and 882.

Prime Factorization of 874


2 874
19 437
23 23
1

Prime factors of 874 are 2, 19,23. Prime factorization of 874 in exponential form is:

874 = 21×191×231

Prime Factorization of 882


2 882
3 441
3 147
7 49
7 7
1

Prime factors of 882 are 2, 3,7. Prime factorization of 882 in exponential form is:

882 = 21×32×72

Now multiplying the highest exponent prime factors to calculate the LCM of 874 and 882.

LCM(874,882) = 21×32×72×191×231
LCM(874,882) = 385434

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Least Common Multiple of 874 and 882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 874 and 882, than apply into the LCM equation.

GCF(874,882) = 2
LCM(874,882) = ( 874 × 882) / 2
LCM(874,882) = 770868 / 2
LCM(874,882) = 385434

Properties of LCM 874 and 882

(i) The LCM of 882 and 874 is associative

LCM of 874 and 882 = LCM of 882 and 874

Related Least Common Multiples of 874

Related Least Common Multiples of 882

Frequently Asked Questions on LCM of 874 and 882

1. What is the LCM of 874 and 882?

Answer: LCM of 874 and 882 is 385434.

2. What are the Factors of 874?

Answer: Factors of 874 are 1, 2, 19, 23, 38, 46, 437, 874. There are 8 integers that are factors of 874. The greatest factor of 874 is 874.

3. What are the Factors of 882?

Answer: Factors of 882 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882. There are 18 integers that are factors of 882. The greatest factor of 882 is 882.

4. How to Find the LCM of 874 and 882?

Answer:

Least Common Multiple of 874 and 882 = 385434

Step 1: Find the prime factorization of 874

874 = 2 x 19 x 23

Step 2: Find the prime factorization of 882

882 = 2 x 3 x 3 x 7 x 7

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

LCM = 385434 = 2 x 3 x 3 x 7 x 7 x 19 x 23

Step 4: Therefore, the least common multiple of 874 and 882 is 385434.