Least Common Multiple of 878 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 878 and 882 the smallest integer that is 387198 that is divisible by both numbers.

Least Common Multiple (LCM) of 878 and 882 is 387198.

LCM(878,882) = 387198

LCM of 878 and 882

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

LCM of:
and

Least Common Multiple of 878 and 882

LCM of 878 and 882 is 387198

Least common multiple can be found by multiplying the highest exponent prime factors of 878 and 882. First we will calculate the prime factors of 878 and 882.

Prime Factorization of 878


2 878
439 439
1

Prime factors of 878 are 2,439. Prime factorization of 878 in exponential form is:

878 = 21×4391

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 878 and 882.

LCM(878,882) = 21×32×72×4391
LCM(878,882) = 387198

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1, 2, 439, 878

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 878 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 878 and 882, than apply into the LCM equation.

GCF(878,882) = 2
LCM(878,882) = ( 878 × 882) / 2
LCM(878,882) = 774396 / 2
LCM(878,882) = 387198

Properties of LCM 878 and 882

(i) The LCM of 882 and 878 is associative

LCM of 878 and 882 = LCM of 882 and 878

Related Least Common Multiples of 878

Related Least Common Multiples of 882

Frequently Asked Questions on LCM of 878 and 882

1. What is the LCM of 878 and 882?

Answer: LCM of 878 and 882 is 387198.

2. What are the Factors of 878?

Answer: Factors of 878 are 1, 2, 439, 878. There are 4 integers that are factors of 878. The greatest factor of 878 is 878.

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 878 and 882?

Answer:

Least Common Multiple of 878 and 882 = 387198

Step 1: Find the prime factorization of 878

878 = 2 x 439

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 = 387198 = 2 x 3 x 3 x 7 x 7 x 439

Step 4: Therefore, the least common multiple of 878 and 882 is 387198.