Least Common Multiple of 7838 and 7840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7838 and 7840 the smallest integer that is 30724960 that is divisible by both numbers.

Least Common Multiple (LCM) of 7838 and 7840 is 30724960.

LCM(7838,7840) = 30724960

LCM of 7838 and 7840

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

LCM of:
and

Least Common Multiple of 7838 and 7840

LCM of 7838 and 7840 is 30724960

Least common multiple can be found by multiplying the highest exponent prime factors of 7838 and 7840. First we will calculate the prime factors of 7838 and 7840.

Prime Factorization of 7838


2 7838
3919 3919
1

Prime factors of 7838 are 2,3919. Prime factorization of 7838 in exponential form is:

7838 = 21×39191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7838 and 7840.

LCM(7838,7840) = 25×51×72×39191
LCM(7838,7840) = 30724960

Factors of 7838

List of positive integer factors of 7838 that divides 7838 without a remainder.

1, 2, 3919, 7838

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

Least Common Multiple of 7838 and 7840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7838 and 7840, than apply into the LCM equation.

GCF(7838,7840) = 2
LCM(7838,7840) = ( 7838 × 7840) / 2
LCM(7838,7840) = 61449920 / 2
LCM(7838,7840) = 30724960

Properties of LCM 7838 and 7840

(i) The LCM of 7840 and 7838 is associative

LCM of 7838 and 7840 = LCM of 7840 and 7838

Related Least Common Multiples of 7838

Related Least Common Multiples of 7840

Frequently Asked Questions on LCM of 7838 and 7840

1. What is the LCM of 7838 and 7840?

Answer: LCM of 7838 and 7840 is 30724960.

2. What are the Factors of 7838?

Answer: Factors of 7838 are 1, 2, 3919, 7838. There are 4 integers that are factors of 7838. The greatest factor of 7838 is 7838.

3. 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.

4. How to Find the LCM of 7838 and 7840?

Answer:

Least Common Multiple of 7838 and 7840 = 30724960

Step 1: Find the prime factorization of 7838

7838 = 2 x 3919

Step 2: Find the prime factorization of 7840

7840 = 2 x 2 x 2 x 2 x 2 x 5 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 = 30724960 = 2 x 2 x 2 x 2 x 2 x 5 x 7 x 7 x 3919

Step 4: Therefore, the least common multiple of 7838 and 7840 is 30724960.