Least Common Multiple of 7880 and 7887

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 7887 the smallest integer that is 62149560 that is divisible by both numbers.

Least Common Multiple (LCM) of 7880 and 7887 is 62149560.

LCM(7880,7887) = 62149560

LCM of 7880 and 7887

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

LCM of:
and

Least Common Multiple of 7880 and 7887

LCM of 7880 and 7887 is 62149560

Least common multiple can be found by multiplying the highest exponent prime factors of 7880 and 7887. First we will calculate the prime factors of 7880 and 7887.

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 7887


3 7887
11 2629
239 239
1

Prime factors of 7887 are 3, 11,239. Prime factorization of 7887 in exponential form is:

7887 = 31×111×2391

Now multiplying the highest exponent prime factors to calculate the LCM of 7880 and 7887.

LCM(7880,7887) = 23×31×51×111×1971×2391
LCM(7880,7887) = 62149560

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 7887

List of positive integer factors of 7887 that divides 7887 without a remainder.

1, 3, 11, 33, 239, 717, 2629, 7887

Least Common Multiple of 7880 and 7887 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 7887, than apply into the LCM equation.

GCF(7880,7887) = 1
LCM(7880,7887) = ( 7880 × 7887) / 1
LCM(7880,7887) = 62149560 / 1
LCM(7880,7887) = 62149560

Properties of LCM 7880 and 7887

(i) The LCM of 7887 and 7880 is associative

LCM of 7880 and 7887 = LCM of 7887 and 7880

Related Least Common Multiples of 7880

Related Least Common Multiples of 7887

Frequently Asked Questions on LCM of 7880 and 7887

1. What is the LCM of 7880 and 7887?

Answer: LCM of 7880 and 7887 is 62149560.

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 7887?

Answer: Factors of 7887 are 1, 3, 11, 33, 239, 717, 2629, 7887. There are 8 integers that are factors of 7887. The greatest factor of 7887 is 7887.

4. How to Find the LCM of 7880 and 7887?

Answer:

Least Common Multiple of 7880 and 7887 = 62149560

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 7887

7887 = 3 x 11 x 239

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

LCM = 62149560 = 2 x 2 x 2 x 3 x 5 x 11 x 197 x 239

Step 4: Therefore, the least common multiple of 7880 and 7887 is 62149560.