Least Common Multiple of 7884 and 7888

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7884 and 7888 the smallest integer that is 15547248 that is divisible by both numbers.

Least Common Multiple (LCM) of 7884 and 7888 is 15547248.

LCM(7884,7888) = 15547248

LCM of 7884 and 7888

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

LCM of:
and

Least Common Multiple of 7884 and 7888

LCM of 7884 and 7888 is 15547248

Least common multiple can be found by multiplying the highest exponent prime factors of 7884 and 7888. First we will calculate the prime factors of 7884 and 7888.

Prime Factorization of 7884


2 7884
2 3942
3 1971
3 657
3 219
73 73
1

Prime factors of 7884 are 2, 3,73. Prime factorization of 7884 in exponential form is:

7884 = 22×33×731

Prime Factorization of 7888


2 7888
2 3944
2 1972
2 986
17 493
29 29
1

Prime factors of 7888 are 2, 17,29. Prime factorization of 7888 in exponential form is:

7888 = 24×171×291

Now multiplying the highest exponent prime factors to calculate the LCM of 7884 and 7888.

LCM(7884,7888) = 24×33×171×291×731
LCM(7884,7888) = 15547248

Factors of 7884

List of positive integer factors of 7884 that divides 7884 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 73, 108, 146, 219, 292, 438, 657, 876, 1314, 1971, 2628, 3942, 7884

Factors of 7888

List of positive integer factors of 7888 that divides 7888 without a remainder.

1, 2, 4, 8, 16, 17, 29, 34, 58, 68, 116, 136, 232, 272, 464, 493, 986, 1972, 3944, 7888

Least Common Multiple of 7884 and 7888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7884 and 7888, than apply into the LCM equation.

GCF(7884,7888) = 4
LCM(7884,7888) = ( 7884 × 7888) / 4
LCM(7884,7888) = 62188992 / 4
LCM(7884,7888) = 15547248

Properties of LCM 7884 and 7888

(i) The LCM of 7888 and 7884 is associative

LCM of 7884 and 7888 = LCM of 7888 and 7884

Related Least Common Multiples of 7884

Related Least Common Multiples of 7888

Frequently Asked Questions on LCM of 7884 and 7888

1. What is the LCM of 7884 and 7888?

Answer: LCM of 7884 and 7888 is 15547248.

2. What are the Factors of 7884?

Answer: Factors of 7884 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 73, 108, 146, 219, 292, 438, 657, 876, 1314, 1971, 2628, 3942, 7884. There are 24 integers that are factors of 7884. The greatest factor of 7884 is 7884.

3. What are the Factors of 7888?

Answer: Factors of 7888 are 1, 2, 4, 8, 16, 17, 29, 34, 58, 68, 116, 136, 232, 272, 464, 493, 986, 1972, 3944, 7888. There are 20 integers that are factors of 7888. The greatest factor of 7888 is 7888.

4. How to Find the LCM of 7884 and 7888?

Answer:

Least Common Multiple of 7884 and 7888 = 15547248

Step 1: Find the prime factorization of 7884

7884 = 2 x 2 x 3 x 3 x 3 x 73

Step 2: Find the prime factorization of 7888

7888 = 2 x 2 x 2 x 2 x 17 x 29

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

LCM = 15547248 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 17 x 29 x 73

Step 4: Therefore, the least common multiple of 7884 and 7888 is 15547248.