Least Common Multiple of 7896 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 7896 and 7900 the smallest integer that is 15594600 that is divisible by both numbers.

Least Common Multiple (LCM) of 7896 and 7900 is 15594600.

LCM(7896,7900) = 15594600

LCM of 7896 and 7900

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

LCM of:
and

Least Common Multiple of 7896 and 7900

LCM of 7896 and 7900 is 15594600

Least common multiple can be found by multiplying the highest exponent prime factors of 7896 and 7900. First we will calculate the prime factors of 7896 and 7900.

Prime Factorization of 7896


2 7896
2 3948
2 1974
3 987
7 329
47 47
1

Prime factors of 7896 are 2, 3, 7,47. Prime factorization of 7896 in exponential form is:

7896 = 23×31×71×471

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 7896 and 7900.

LCM(7896,7900) = 23×31×52×71×471×791
LCM(7896,7900) = 15594600

Factors of 7896

List of positive integer factors of 7896 that divides 7896 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 47, 56, 84, 94, 141, 168, 188, 282, 329, 376, 564, 658, 987, 1128, 1316, 1974, 2632, 3948, 7896

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 7896 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 7896 and 7900, than apply into the LCM equation.

GCF(7896,7900) = 4
LCM(7896,7900) = ( 7896 × 7900) / 4
LCM(7896,7900) = 62378400 / 4
LCM(7896,7900) = 15594600

Properties of LCM 7896 and 7900

(i) The LCM of 7900 and 7896 is associative

LCM of 7896 and 7900 = LCM of 7900 and 7896

Related Least Common Multiples of 7896

Related Least Common Multiples of 7900

Frequently Asked Questions on LCM of 7896 and 7900

1. What is the LCM of 7896 and 7900?

Answer: LCM of 7896 and 7900 is 15594600.

2. What are the Factors of 7896?

Answer: Factors of 7896 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 47, 56, 84, 94, 141, 168, 188, 282, 329, 376, 564, 658, 987, 1128, 1316, 1974, 2632, 3948, 7896. There are 32 integers that are factors of 7896. The greatest factor of 7896 is 7896.

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 7896 and 7900?

Answer:

Least Common Multiple of 7896 and 7900 = 15594600

Step 1: Find the prime factorization of 7896

7896 = 2 x 2 x 2 x 3 x 7 x 47

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 = 15594600 = 2 x 2 x 2 x 3 x 5 x 5 x 7 x 47 x 79

Step 4: Therefore, the least common multiple of 7896 and 7900 is 15594600.