Least Common Multiple of 7880 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 7880 and 7888 the smallest integer that is 7769680 that is divisible by both numbers.

Least Common Multiple (LCM) of 7880 and 7888 is 7769680.

LCM(7880,7888) = 7769680

LCM of 7880 and 7888

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

LCM of:
and

Least Common Multiple of 7880 and 7888

LCM of 7880 and 7888 is 7769680

Least common multiple can be found by multiplying the highest exponent prime factors of 7880 and 7888. First we will calculate the prime factors of 7880 and 7888.

Prime Factorization of 7880


2 7880
2 3940
2 1970
5 985
197 197
1

Prime factors of 7880 are 2, 5,197. Prime factorization of 7880 in exponential form is:

7880 = 23×51×1971

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 7880 and 7888.

LCM(7880,7888) = 24×51×171×291×1971
LCM(7880,7888) = 7769680

Factors of 7880

List of positive integer factors of 7880 that divides 7880 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 197, 394, 788, 985, 1576, 1970, 3940, 7880

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 7880 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 7880 and 7888, than apply into the LCM equation.

GCF(7880,7888) = 8
LCM(7880,7888) = ( 7880 × 7888) / 8
LCM(7880,7888) = 62157440 / 8
LCM(7880,7888) = 7769680

Properties of LCM 7880 and 7888

(i) The LCM of 7888 and 7880 is associative

LCM of 7880 and 7888 = LCM of 7888 and 7880

Related Least Common Multiples of 7880

Related Least Common Multiples of 7888

Frequently Asked Questions on LCM of 7880 and 7888

1. What is the LCM of 7880 and 7888?

Answer: LCM of 7880 and 7888 is 7769680.

2. What are the Factors of 7880?

Answer: Factors of 7880 are 1, 2, 4, 5, 8, 10, 20, 40, 197, 394, 788, 985, 1576, 1970, 3940, 7880. There are 16 integers that are factors of 7880. The greatest factor of 7880 is 7880.

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 7880 and 7888?

Answer:

Least Common Multiple of 7880 and 7888 = 7769680

Step 1: Find the prime factorization of 7880

7880 = 2 x 2 x 2 x 5 x 197

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 = 7769680 = 2 x 2 x 2 x 2 x 5 x 17 x 29 x 197

Step 4: Therefore, the least common multiple of 7880 and 7888 is 7769680.