Least Common Multiple of 8980 and 8985

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 8985 the smallest integer that is 16137060 that is divisible by both numbers.

Least Common Multiple (LCM) of 8980 and 8985 is 16137060.

LCM(8980,8985) = 16137060

LCM of 8980 and 8985

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

LCM of:
and

Least Common Multiple of 8980 and 8985

LCM of 8980 and 8985 is 16137060

Least common multiple can be found by multiplying the highest exponent prime factors of 8980 and 8985. First we will calculate the prime factors of 8980 and 8985.

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 8985


3 8985
5 2995
599 599
1

Prime factors of 8985 are 3, 5,599. Prime factorization of 8985 in exponential form is:

8985 = 31×51×5991

Now multiplying the highest exponent prime factors to calculate the LCM of 8980 and 8985.

LCM(8980,8985) = 22×31×51×4491×5991
LCM(8980,8985) = 16137060

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 8985

List of positive integer factors of 8985 that divides 8985 without a remainder.

1, 3, 5, 15, 599, 1797, 2995, 8985

Least Common Multiple of 8980 and 8985 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 8985, than apply into the LCM equation.

GCF(8980,8985) = 5
LCM(8980,8985) = ( 8980 × 8985) / 5
LCM(8980,8985) = 80685300 / 5
LCM(8980,8985) = 16137060

Properties of LCM 8980 and 8985

(i) The LCM of 8985 and 8980 is associative

LCM of 8980 and 8985 = LCM of 8985 and 8980

Related Least Common Multiples of 8980

Related Least Common Multiples of 8985

Frequently Asked Questions on LCM of 8980 and 8985

1. What is the LCM of 8980 and 8985?

Answer: LCM of 8980 and 8985 is 16137060.

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 8985?

Answer: Factors of 8985 are 1, 3, 5, 15, 599, 1797, 2995, 8985. There are 8 integers that are factors of 8985. The greatest factor of 8985 is 8985.

4. How to Find the LCM of 8980 and 8985?

Answer:

Least Common Multiple of 8980 and 8985 = 16137060

Step 1: Find the prime factorization of 8980

8980 = 2 x 2 x 5 x 449

Step 2: Find the prime factorization of 8985

8985 = 3 x 5 x 599

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

LCM = 16137060 = 2 x 2 x 3 x 5 x 449 x 599

Step 4: Therefore, the least common multiple of 8980 and 8985 is 16137060.