Least Common Multiple of 7873 and 7880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7873 and 7880 the smallest integer that is 62039240 that is divisible by both numbers.

Least Common Multiple (LCM) of 7873 and 7880 is 62039240.

LCM(7873,7880) = 62039240

LCM of 7873 and 7880

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

LCM of:
and

Least Common Multiple of 7873 and 7880

LCM of 7873 and 7880 is 62039240

Least common multiple can be found by multiplying the highest exponent prime factors of 7873 and 7880. First we will calculate the prime factors of 7873 and 7880.

Prime Factorization of 7873


7873 7873
1

Prime factors of 7873 are 7873. Prime factorization of 7873 in exponential form is:

7873 = 78731

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7873 and 7880.

LCM(7873,7880) = 23×51×1971×78731
LCM(7873,7880) = 62039240

Factors of 7873

List of positive integer factors of 7873 that divides 7873 without a remainder.

1, 7873

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

Least Common Multiple of 7873 and 7880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7873 and 7880, than apply into the LCM equation.

GCF(7873,7880) = 1
LCM(7873,7880) = ( 7873 × 7880) / 1
LCM(7873,7880) = 62039240 / 1
LCM(7873,7880) = 62039240

Properties of LCM 7873 and 7880

(i) The LCM of 7880 and 7873 is associative

LCM of 7873 and 7880 = LCM of 7880 and 7873

Related Least Common Multiples of 7873

Related Least Common Multiples of 7880

Frequently Asked Questions on LCM of 7873 and 7880

1. What is the LCM of 7873 and 7880?

Answer: LCM of 7873 and 7880 is 62039240.

2. What are the Factors of 7873?

Answer: Factors of 7873 are 1, 7873. There are 2 integers that are factors of 7873. The greatest factor of 7873 is 7873.

3. 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.

4. How to Find the LCM of 7873 and 7880?

Answer:

Least Common Multiple of 7873 and 7880 = 62039240

Step 1: Find the prime factorization of 7873

7873 = 7873

Step 2: Find the prime factorization of 7880

7880 = 2 x 2 x 2 x 5 x 197

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

LCM = 62039240 = 2 x 2 x 2 x 5 x 197 x 7873

Step 4: Therefore, the least common multiple of 7873 and 7880 is 62039240.