Least Common Multiple of 878 and 879

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 879 the smallest integer that is 771762 that is divisible by both numbers.

Least Common Multiple (LCM) of 878 and 879 is 771762.

LCM(878,879) = 771762

LCM of 878 and 879

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

LCM of:
and

Least Common Multiple of 878 and 879

LCM of 878 and 879 is 771762

Least common multiple can be found by multiplying the highest exponent prime factors of 878 and 879. First we will calculate the prime factors of 878 and 879.

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 879


3 879
293 293
1

Prime factors of 879 are 3,293. Prime factorization of 879 in exponential form is:

879 = 31×2931

Now multiplying the highest exponent prime factors to calculate the LCM of 878 and 879.

LCM(878,879) = 21×31×2931×4391
LCM(878,879) = 771762

Factors of 878

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

1, 2, 439, 878

Factors of 879

List of positive integer factors of 879 that divides 879 without a remainder.

1, 3, 293, 879

Least Common Multiple of 878 and 879 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 879, than apply into the LCM equation.

GCF(878,879) = 1
LCM(878,879) = ( 878 × 879) / 1
LCM(878,879) = 771762 / 1
LCM(878,879) = 771762

Properties of LCM 878 and 879

(i) The LCM of 879 and 878 is associative

LCM of 878 and 879 = LCM of 879 and 878

Related Least Common Multiples of 878

Related Least Common Multiples of 879

Frequently Asked Questions on LCM of 878 and 879

1. What is the LCM of 878 and 879?

Answer: LCM of 878 and 879 is 771762.

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 879?

Answer: Factors of 879 are 1, 3, 293, 879. There are 4 integers that are factors of 879. The greatest factor of 879 is 879.

4. How to Find the LCM of 878 and 879?

Answer:

Least Common Multiple of 878 and 879 = 771762

Step 1: Find the prime factorization of 878

878 = 2 x 439

Step 2: Find the prime factorization of 879

879 = 3 x 293

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

LCM = 771762 = 2 x 3 x 293 x 439

Step 4: Therefore, the least common multiple of 878 and 879 is 771762.