Least Common Multiple of 7874 and 7882

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7874 and 7882 the smallest integer that is 31031434 that is divisible by both numbers.

Least Common Multiple (LCM) of 7874 and 7882 is 31031434.

LCM(7874,7882) = 31031434

LCM of 7874 and 7882

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

LCM of:
and

Least Common Multiple of 7874 and 7882

LCM of 7874 and 7882 is 31031434

Least common multiple can be found by multiplying the highest exponent prime factors of 7874 and 7882. First we will calculate the prime factors of 7874 and 7882.

Prime Factorization of 7874


2 7874
31 3937
127 127
1

Prime factors of 7874 are 2, 31,127. Prime factorization of 7874 in exponential form is:

7874 = 21×311×1271

Prime Factorization of 7882


2 7882
7 3941
563 563
1

Prime factors of 7882 are 2, 7,563. Prime factorization of 7882 in exponential form is:

7882 = 21×71×5631

Now multiplying the highest exponent prime factors to calculate the LCM of 7874 and 7882.

LCM(7874,7882) = 21×71×311×1271×5631
LCM(7874,7882) = 31031434

Factors of 7874

List of positive integer factors of 7874 that divides 7874 without a remainder.

1, 2, 31, 62, 127, 254, 3937, 7874

Factors of 7882

List of positive integer factors of 7882 that divides 7882 without a remainder.

1, 2, 7, 14, 563, 1126, 3941, 7882

Least Common Multiple of 7874 and 7882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7874 and 7882, than apply into the LCM equation.

GCF(7874,7882) = 2
LCM(7874,7882) = ( 7874 × 7882) / 2
LCM(7874,7882) = 62062868 / 2
LCM(7874,7882) = 31031434

Properties of LCM 7874 and 7882

(i) The LCM of 7882 and 7874 is associative

LCM of 7874 and 7882 = LCM of 7882 and 7874

Related Least Common Multiples of 7874

Related Least Common Multiples of 7882

Frequently Asked Questions on LCM of 7874 and 7882

1. What is the LCM of 7874 and 7882?

Answer: LCM of 7874 and 7882 is 31031434.

2. What are the Factors of 7874?

Answer: Factors of 7874 are 1, 2, 31, 62, 127, 254, 3937, 7874. There are 8 integers that are factors of 7874. The greatest factor of 7874 is 7874.

3. What are the Factors of 7882?

Answer: Factors of 7882 are 1, 2, 7, 14, 563, 1126, 3941, 7882. There are 8 integers that are factors of 7882. The greatest factor of 7882 is 7882.

4. How to Find the LCM of 7874 and 7882?

Answer:

Least Common Multiple of 7874 and 7882 = 31031434

Step 1: Find the prime factorization of 7874

7874 = 2 x 31 x 127

Step 2: Find the prime factorization of 7882

7882 = 2 x 7 x 563

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

LCM = 31031434 = 2 x 7 x 31 x 127 x 563

Step 4: Therefore, the least common multiple of 7874 and 7882 is 31031434.