Least Common Multiple of 8980 and 8987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8980 and 8987 the smallest integer that is 80703260 that is divisible by both numbers.

Least Common Multiple (LCM) of 8980 and 8987 is 80703260.

LCM(8980,8987) = 80703260

LCM of 8980 and 8987

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

LCM of:
and

Least Common Multiple of 8980 and 8987

LCM of 8980 and 8987 is 80703260

Least common multiple can be found by multiplying the highest exponent prime factors of 8980 and 8987. First we will calculate the prime factors of 8980 and 8987.

Prime Factorization of 8980


2 8980
2 4490
5 2245
449 449
1

Prime factors of 8980 are 2, 5,449. Prime factorization of 8980 in exponential form is:

8980 = 22×51×4491

Prime Factorization of 8987


11 8987
19 817
43 43
1

Prime factors of 8987 are 11, 19,43. Prime factorization of 8987 in exponential form is:

8987 = 111×191×431

Now multiplying the highest exponent prime factors to calculate the LCM of 8980 and 8987.

LCM(8980,8987) = 22×51×111×191×431×4491
LCM(8980,8987) = 80703260

Factors of 8980

List of positive integer factors of 8980 that divides 8980 without a remainder.

1, 2, 4, 5, 10, 20, 449, 898, 1796, 2245, 4490, 8980

Factors of 8987

List of positive integer factors of 8987 that divides 8987 without a remainder.

1, 11, 19, 43, 209, 473, 817, 8987

Least Common Multiple of 8980 and 8987 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8980 and 8987, than apply into the LCM equation.

GCF(8980,8987) = 1
LCM(8980,8987) = ( 8980 × 8987) / 1
LCM(8980,8987) = 80703260 / 1
LCM(8980,8987) = 80703260

Properties of LCM 8980 and 8987

(i) The LCM of 8987 and 8980 is associative

LCM of 8980 and 8987 = LCM of 8987 and 8980

Related Least Common Multiples of 8980

Related Least Common Multiples of 8987

Frequently Asked Questions on LCM of 8980 and 8987

1. What is the LCM of 8980 and 8987?

Answer: LCM of 8980 and 8987 is 80703260.

2. What are the Factors of 8980?

Answer: Factors of 8980 are 1, 2, 4, 5, 10, 20, 449, 898, 1796, 2245, 4490, 8980. There are 12 integers that are factors of 8980. The greatest factor of 8980 is 8980.

3. What are the Factors of 8987?

Answer: Factors of 8987 are 1, 11, 19, 43, 209, 473, 817, 8987. There are 8 integers that are factors of 8987. The greatest factor of 8987 is 8987.

4. How to Find the LCM of 8980 and 8987?

Answer:

Least Common Multiple of 8980 and 8987 = 80703260

Step 1: Find the prime factorization of 8980

8980 = 2 x 2 x 5 x 449

Step 2: Find the prime factorization of 8987

8987 = 11 x 19 x 43

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

LCM = 80703260 = 2 x 2 x 5 x 11 x 19 x 43 x 449

Step 4: Therefore, the least common multiple of 8980 and 8987 is 80703260.