Least Common Multiple of 7880 and 7885

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 7885 the smallest integer that is 12426760 that is divisible by both numbers.

Least Common Multiple (LCM) of 7880 and 7885 is 12426760.

LCM(7880,7885) = 12426760

LCM of 7880 and 7885

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

LCM of:
and

Least Common Multiple of 7880 and 7885

LCM of 7880 and 7885 is 12426760

Least common multiple can be found by multiplying the highest exponent prime factors of 7880 and 7885. First we will calculate the prime factors of 7880 and 7885.

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 7885


5 7885
19 1577
83 83
1

Prime factors of 7885 are 5, 19,83. Prime factorization of 7885 in exponential form is:

7885 = 51×191×831

Now multiplying the highest exponent prime factors to calculate the LCM of 7880 and 7885.

LCM(7880,7885) = 23×51×191×831×1971
LCM(7880,7885) = 12426760

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 7885

List of positive integer factors of 7885 that divides 7885 without a remainder.

1, 5, 19, 83, 95, 415, 1577, 7885

Least Common Multiple of 7880 and 7885 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 7885, than apply into the LCM equation.

GCF(7880,7885) = 5
LCM(7880,7885) = ( 7880 × 7885) / 5
LCM(7880,7885) = 62133800 / 5
LCM(7880,7885) = 12426760

Properties of LCM 7880 and 7885

(i) The LCM of 7885 and 7880 is associative

LCM of 7880 and 7885 = LCM of 7885 and 7880

Related Least Common Multiples of 7880

Related Least Common Multiples of 7885

Frequently Asked Questions on LCM of 7880 and 7885

1. What is the LCM of 7880 and 7885?

Answer: LCM of 7880 and 7885 is 12426760.

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 7885?

Answer: Factors of 7885 are 1, 5, 19, 83, 95, 415, 1577, 7885. There are 8 integers that are factors of 7885. The greatest factor of 7885 is 7885.

4. How to Find the LCM of 7880 and 7885?

Answer:

Least Common Multiple of 7880 and 7885 = 12426760

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 7885

7885 = 5 x 19 x 83

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

LCM = 12426760 = 2 x 2 x 2 x 5 x 19 x 83 x 197

Step 4: Therefore, the least common multiple of 7880 and 7885 is 12426760.