Least Common Multiple of 8980 and 8988

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 8988 the smallest integer that is 20178060 that is divisible by both numbers.

Least Common Multiple (LCM) of 8980 and 8988 is 20178060.

LCM(8980,8988) = 20178060

LCM of 8980 and 8988

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

LCM of:
and

Least Common Multiple of 8980 and 8988

LCM of 8980 and 8988 is 20178060

Least common multiple can be found by multiplying the highest exponent prime factors of 8980 and 8988. First we will calculate the prime factors of 8980 and 8988.

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 8988


2 8988
2 4494
3 2247
7 749
107 107
1

Prime factors of 8988 are 2, 3, 7,107. Prime factorization of 8988 in exponential form is:

8988 = 22×31×71×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 8980 and 8988.

LCM(8980,8988) = 22×31×51×71×1071×4491
LCM(8980,8988) = 20178060

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 8988

List of positive integer factors of 8988 that divides 8988 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 107, 214, 321, 428, 642, 749, 1284, 1498, 2247, 2996, 4494, 8988

Least Common Multiple of 8980 and 8988 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 8988, than apply into the LCM equation.

GCF(8980,8988) = 4
LCM(8980,8988) = ( 8980 × 8988) / 4
LCM(8980,8988) = 80712240 / 4
LCM(8980,8988) = 20178060

Properties of LCM 8980 and 8988

(i) The LCM of 8988 and 8980 is associative

LCM of 8980 and 8988 = LCM of 8988 and 8980

Related Least Common Multiples of 8980

Related Least Common Multiples of 8988

Frequently Asked Questions on LCM of 8980 and 8988

1. What is the LCM of 8980 and 8988?

Answer: LCM of 8980 and 8988 is 20178060.

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 8988?

Answer: Factors of 8988 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 107, 214, 321, 428, 642, 749, 1284, 1498, 2247, 2996, 4494, 8988. There are 24 integers that are factors of 8988. The greatest factor of 8988 is 8988.

4. How to Find the LCM of 8980 and 8988?

Answer:

Least Common Multiple of 8980 and 8988 = 20178060

Step 1: Find the prime factorization of 8980

8980 = 2 x 2 x 5 x 449

Step 2: Find the prime factorization of 8988

8988 = 2 x 2 x 3 x 7 x 107

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

LCM = 20178060 = 2 x 2 x 3 x 5 x 7 x 107 x 449

Step 4: Therefore, the least common multiple of 8980 and 8988 is 20178060.