Least Common Multiple of 7893 and 7900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7893 and 7900 the smallest integer that is 62354700 that is divisible by both numbers.

Least Common Multiple (LCM) of 7893 and 7900 is 62354700.

LCM(7893,7900) = 62354700

LCM of 7893 and 7900

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

LCM of:
and

Least Common Multiple of 7893 and 7900

LCM of 7893 and 7900 is 62354700

Least common multiple can be found by multiplying the highest exponent prime factors of 7893 and 7900. First we will calculate the prime factors of 7893 and 7900.

Prime Factorization of 7893


3 7893
3 2631
877 877
1

Prime factors of 7893 are 3,877. Prime factorization of 7893 in exponential form is:

7893 = 32×8771

Prime Factorization of 7900


2 7900
2 3950
5 1975
5 395
79 79
1

Prime factors of 7900 are 2, 5,79. Prime factorization of 7900 in exponential form is:

7900 = 22×52×791

Now multiplying the highest exponent prime factors to calculate the LCM of 7893 and 7900.

LCM(7893,7900) = 22×32×52×791×8771
LCM(7893,7900) = 62354700

Factors of 7893

List of positive integer factors of 7893 that divides 7893 without a remainder.

1, 3, 9, 877, 2631, 7893

Factors of 7900

List of positive integer factors of 7900 that divides 7900 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 79, 100, 158, 316, 395, 790, 1580, 1975, 3950, 7900

Least Common Multiple of 7893 and 7900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7893 and 7900, than apply into the LCM equation.

GCF(7893,7900) = 1
LCM(7893,7900) = ( 7893 × 7900) / 1
LCM(7893,7900) = 62354700 / 1
LCM(7893,7900) = 62354700

Properties of LCM 7893 and 7900

(i) The LCM of 7900 and 7893 is associative

LCM of 7893 and 7900 = LCM of 7900 and 7893

Related Least Common Multiples of 7893

Related Least Common Multiples of 7900

Frequently Asked Questions on LCM of 7893 and 7900

1. What is the LCM of 7893 and 7900?

Answer: LCM of 7893 and 7900 is 62354700.

2. What are the Factors of 7893?

Answer: Factors of 7893 are 1, 3, 9, 877, 2631, 7893. There are 6 integers that are factors of 7893. The greatest factor of 7893 is 7893.

3. What are the Factors of 7900?

Answer: Factors of 7900 are 1, 2, 4, 5, 10, 20, 25, 50, 79, 100, 158, 316, 395, 790, 1580, 1975, 3950, 7900. There are 18 integers that are factors of 7900. The greatest factor of 7900 is 7900.

4. How to Find the LCM of 7893 and 7900?

Answer:

Least Common Multiple of 7893 and 7900 = 62354700

Step 1: Find the prime factorization of 7893

7893 = 3 x 3 x 877

Step 2: Find the prime factorization of 7900

7900 = 2 x 2 x 5 x 5 x 79

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

LCM = 62354700 = 2 x 2 x 3 x 3 x 5 x 5 x 79 x 877

Step 4: Therefore, the least common multiple of 7893 and 7900 is 62354700.