Least Common Multiple of 7882 and 7890

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7882 and 7890 the smallest integer that is 31094490 that is divisible by both numbers.

Least Common Multiple (LCM) of 7882 and 7890 is 31094490.

LCM(7882,7890) = 31094490

LCM of 7882 and 7890

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

LCM of:
and

Least Common Multiple of 7882 and 7890

LCM of 7882 and 7890 is 31094490

Least common multiple can be found by multiplying the highest exponent prime factors of 7882 and 7890. First we will calculate the prime factors of 7882 and 7890.

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

Prime Factorization of 7890


2 7890
3 3945
5 1315
263 263
1

Prime factors of 7890 are 2, 3, 5,263. Prime factorization of 7890 in exponential form is:

7890 = 21×31×51×2631

Now multiplying the highest exponent prime factors to calculate the LCM of 7882 and 7890.

LCM(7882,7890) = 21×31×51×71×2631×5631
LCM(7882,7890) = 31094490

Factors of 7882

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

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

Factors of 7890

List of positive integer factors of 7890 that divides 7890 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 263, 526, 789, 1315, 1578, 2630, 3945, 7890

Least Common Multiple of 7882 and 7890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7882 and 7890, than apply into the LCM equation.

GCF(7882,7890) = 2
LCM(7882,7890) = ( 7882 × 7890) / 2
LCM(7882,7890) = 62188980 / 2
LCM(7882,7890) = 31094490

Properties of LCM 7882 and 7890

(i) The LCM of 7890 and 7882 is associative

LCM of 7882 and 7890 = LCM of 7890 and 7882

Related Least Common Multiples of 7882

Related Least Common Multiples of 7890

Frequently Asked Questions on LCM of 7882 and 7890

1. What is the LCM of 7882 and 7890?

Answer: LCM of 7882 and 7890 is 31094490.

2. 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.

3. What are the Factors of 7890?

Answer: Factors of 7890 are 1, 2, 3, 5, 6, 10, 15, 30, 263, 526, 789, 1315, 1578, 2630, 3945, 7890. There are 16 integers that are factors of 7890. The greatest factor of 7890 is 7890.

4. How to Find the LCM of 7882 and 7890?

Answer:

Least Common Multiple of 7882 and 7890 = 31094490

Step 1: Find the prime factorization of 7882

7882 = 2 x 7 x 563

Step 2: Find the prime factorization of 7890

7890 = 2 x 3 x 5 x 263

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

LCM = 31094490 = 2 x 3 x 5 x 7 x 263 x 563

Step 4: Therefore, the least common multiple of 7882 and 7890 is 31094490.