Least Common Multiple of 7840 and 7847

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7840 and 7847 the smallest integer that is 8788640 that is divisible by both numbers.

Least Common Multiple (LCM) of 7840 and 7847 is 8788640.

LCM(7840,7847) = 8788640

LCM of 7840 and 7847

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

LCM of:
and

Least Common Multiple of 7840 and 7847

LCM of 7840 and 7847 is 8788640

Least common multiple can be found by multiplying the highest exponent prime factors of 7840 and 7847. First we will calculate the prime factors of 7840 and 7847.

Prime Factorization of 7840


2 7840
2 3920
2 1960
2 980
2 490
5 245
7 49
7 7
1

Prime factors of 7840 are 2, 5,7. Prime factorization of 7840 in exponential form is:

7840 = 25×51×72

Prime Factorization of 7847


7 7847
19 1121
59 59
1

Prime factors of 7847 are 7, 19,59. Prime factorization of 7847 in exponential form is:

7847 = 71×191×591

Now multiplying the highest exponent prime factors to calculate the LCM of 7840 and 7847.

LCM(7840,7847) = 25×51×72×191×591
LCM(7840,7847) = 8788640

Factors of 7840

List of positive integer factors of 7840 that divides 7840 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 49, 56, 70, 80, 98, 112, 140, 160, 196, 224, 245, 280, 392, 490, 560, 784, 980, 1120, 1568, 1960, 3920, 7840

Factors of 7847

List of positive integer factors of 7847 that divides 7847 without a remainder.

1, 7, 19, 59, 133, 413, 1121, 7847

Least Common Multiple of 7840 and 7847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7840 and 7847, than apply into the LCM equation.

GCF(7840,7847) = 7
LCM(7840,7847) = ( 7840 × 7847) / 7
LCM(7840,7847) = 61520480 / 7
LCM(7840,7847) = 8788640

Properties of LCM 7840 and 7847

(i) The LCM of 7847 and 7840 is associative

LCM of 7840 and 7847 = LCM of 7847 and 7840

Related Least Common Multiples of 7840

Related Least Common Multiples of 7847

Frequently Asked Questions on LCM of 7840 and 7847

1. What is the LCM of 7840 and 7847?

Answer: LCM of 7840 and 7847 is 8788640.

2. What are the Factors of 7840?

Answer: Factors of 7840 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 49, 56, 70, 80, 98, 112, 140, 160, 196, 224, 245, 280, 392, 490, 560, 784, 980, 1120, 1568, 1960, 3920, 7840. There are 36 integers that are factors of 7840. The greatest factor of 7840 is 7840.

3. What are the Factors of 7847?

Answer: Factors of 7847 are 1, 7, 19, 59, 133, 413, 1121, 7847. There are 8 integers that are factors of 7847. The greatest factor of 7847 is 7847.

4. How to Find the LCM of 7840 and 7847?

Answer:

Least Common Multiple of 7840 and 7847 = 8788640

Step 1: Find the prime factorization of 7840

7840 = 2 x 2 x 2 x 2 x 2 x 5 x 7 x 7

Step 2: Find the prime factorization of 7847

7847 = 7 x 19 x 59

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

LCM = 8788640 = 2 x 2 x 2 x 2 x 2 x 5 x 7 x 7 x 19 x 59

Step 4: Therefore, the least common multiple of 7840 and 7847 is 8788640.