Least Common Multiple of 7830 and 7837

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7830 and 7837 the smallest integer that is 61363710 that is divisible by both numbers.

Least Common Multiple (LCM) of 7830 and 7837 is 61363710.

LCM(7830,7837) = 61363710

LCM of 7830 and 7837

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

LCM of:
and

Least Common Multiple of 7830 and 7837

LCM of 7830 and 7837 is 61363710

Least common multiple can be found by multiplying the highest exponent prime factors of 7830 and 7837. First we will calculate the prime factors of 7830 and 7837.

Prime Factorization of 7830


2 7830
3 3915
3 1305
3 435
5 145
29 29
1

Prime factors of 7830 are 2, 3, 5,29. Prime factorization of 7830 in exponential form is:

7830 = 21×33×51×291

Prime Factorization of 7837


17 7837
461 461
1

Prime factors of 7837 are 17,461. Prime factorization of 7837 in exponential form is:

7837 = 171×4611

Now multiplying the highest exponent prime factors to calculate the LCM of 7830 and 7837.

LCM(7830,7837) = 21×33×51×171×291×4611
LCM(7830,7837) = 61363710

Factors of 7830

List of positive integer factors of 7830 that divides 7830 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 29, 30, 45, 54, 58, 87, 90, 135, 145, 174, 261, 270, 290, 435, 522, 783, 870, 1305, 1566, 2610, 3915, 7830

Factors of 7837

List of positive integer factors of 7837 that divides 7837 without a remainder.

1, 17, 461, 7837

Least Common Multiple of 7830 and 7837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7830 and 7837, than apply into the LCM equation.

GCF(7830,7837) = 1
LCM(7830,7837) = ( 7830 × 7837) / 1
LCM(7830,7837) = 61363710 / 1
LCM(7830,7837) = 61363710

Properties of LCM 7830 and 7837

(i) The LCM of 7837 and 7830 is associative

LCM of 7830 and 7837 = LCM of 7837 and 7830

Related Least Common Multiples of 7830

Related Least Common Multiples of 7837

Frequently Asked Questions on LCM of 7830 and 7837

1. What is the LCM of 7830 and 7837?

Answer: LCM of 7830 and 7837 is 61363710.

2. What are the Factors of 7830?

Answer: Factors of 7830 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 29, 30, 45, 54, 58, 87, 90, 135, 145, 174, 261, 270, 290, 435, 522, 783, 870, 1305, 1566, 2610, 3915, 7830. There are 32 integers that are factors of 7830. The greatest factor of 7830 is 7830.

3. What are the Factors of 7837?

Answer: Factors of 7837 are 1, 17, 461, 7837. There are 4 integers that are factors of 7837. The greatest factor of 7837 is 7837.

4. How to Find the LCM of 7830 and 7837?

Answer:

Least Common Multiple of 7830 and 7837 = 61363710

Step 1: Find the prime factorization of 7830

7830 = 2 x 3 x 3 x 3 x 5 x 29

Step 2: Find the prime factorization of 7837

7837 = 17 x 461

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

LCM = 61363710 = 2 x 3 x 3 x 3 x 5 x 17 x 29 x 461

Step 4: Therefore, the least common multiple of 7830 and 7837 is 61363710.