Least Common Multiple of 7080 and 7087

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7080 and 7087 the smallest integer that is 50175960 that is divisible by both numbers.

Least Common Multiple (LCM) of 7080 and 7087 is 50175960.

LCM(7080,7087) = 50175960

LCM of 7080 and 7087

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

LCM of:
and

Least Common Multiple of 7080 and 7087

LCM of 7080 and 7087 is 50175960

Least common multiple can be found by multiplying the highest exponent prime factors of 7080 and 7087. First we will calculate the prime factors of 7080 and 7087.

Prime Factorization of 7080


2 7080
2 3540
2 1770
3 885
5 295
59 59
1

Prime factors of 7080 are 2, 3, 5,59. Prime factorization of 7080 in exponential form is:

7080 = 23×31×51×591

Prime Factorization of 7087


19 7087
373 373
1

Prime factors of 7087 are 19,373. Prime factorization of 7087 in exponential form is:

7087 = 191×3731

Now multiplying the highest exponent prime factors to calculate the LCM of 7080 and 7087.

LCM(7080,7087) = 23×31×51×191×591×3731
LCM(7080,7087) = 50175960

Factors of 7080

List of positive integer factors of 7080 that divides 7080 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 59, 60, 118, 120, 177, 236, 295, 354, 472, 590, 708, 885, 1180, 1416, 1770, 2360, 3540, 7080

Factors of 7087

List of positive integer factors of 7087 that divides 7087 without a remainder.

1, 19, 373, 7087

Least Common Multiple of 7080 and 7087 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7080 and 7087, than apply into the LCM equation.

GCF(7080,7087) = 1
LCM(7080,7087) = ( 7080 × 7087) / 1
LCM(7080,7087) = 50175960 / 1
LCM(7080,7087) = 50175960

Properties of LCM 7080 and 7087

(i) The LCM of 7087 and 7080 is associative

LCM of 7080 and 7087 = LCM of 7087 and 7080

Related Least Common Multiples of 7080

Related Least Common Multiples of 7087

Frequently Asked Questions on LCM of 7080 and 7087

1. What is the LCM of 7080 and 7087?

Answer: LCM of 7080 and 7087 is 50175960.

2. What are the Factors of 7080?

Answer: Factors of 7080 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 59, 60, 118, 120, 177, 236, 295, 354, 472, 590, 708, 885, 1180, 1416, 1770, 2360, 3540, 7080. There are 32 integers that are factors of 7080. The greatest factor of 7080 is 7080.

3. What are the Factors of 7087?

Answer: Factors of 7087 are 1, 19, 373, 7087. There are 4 integers that are factors of 7087. The greatest factor of 7087 is 7087.

4. How to Find the LCM of 7080 and 7087?

Answer:

Least Common Multiple of 7080 and 7087 = 50175960

Step 1: Find the prime factorization of 7080

7080 = 2 x 2 x 2 x 3 x 5 x 59

Step 2: Find the prime factorization of 7087

7087 = 19 x 373

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

LCM = 50175960 = 2 x 2 x 2 x 3 x 5 x 19 x 59 x 373

Step 4: Therefore, the least common multiple of 7080 and 7087 is 50175960.