Least Common Multiple of 8980 and 8984

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 8984 the smallest integer that is 20169080 that is divisible by both numbers.

Least Common Multiple (LCM) of 8980 and 8984 is 20169080.

LCM(8980,8984) = 20169080

LCM of 8980 and 8984

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

LCM of:
and

Least Common Multiple of 8980 and 8984

LCM of 8980 and 8984 is 20169080

Least common multiple can be found by multiplying the highest exponent prime factors of 8980 and 8984. First we will calculate the prime factors of 8980 and 8984.

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 8984


2 8984
2 4492
2 2246
1123 1123
1

Prime factors of 8984 are 2,1123. Prime factorization of 8984 in exponential form is:

8984 = 23×11231

Now multiplying the highest exponent prime factors to calculate the LCM of 8980 and 8984.

LCM(8980,8984) = 23×51×4491×11231
LCM(8980,8984) = 20169080

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 8984

List of positive integer factors of 8984 that divides 8984 without a remainder.

1, 2, 4, 8, 1123, 2246, 4492, 8984

Least Common Multiple of 8980 and 8984 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 8984, than apply into the LCM equation.

GCF(8980,8984) = 4
LCM(8980,8984) = ( 8980 × 8984) / 4
LCM(8980,8984) = 80676320 / 4
LCM(8980,8984) = 20169080

Properties of LCM 8980 and 8984

(i) The LCM of 8984 and 8980 is associative

LCM of 8980 and 8984 = LCM of 8984 and 8980

Related Least Common Multiples of 8980

Related Least Common Multiples of 8984

Frequently Asked Questions on LCM of 8980 and 8984

1. What is the LCM of 8980 and 8984?

Answer: LCM of 8980 and 8984 is 20169080.

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 8984?

Answer: Factors of 8984 are 1, 2, 4, 8, 1123, 2246, 4492, 8984. There are 8 integers that are factors of 8984. The greatest factor of 8984 is 8984.

4. How to Find the LCM of 8980 and 8984?

Answer:

Least Common Multiple of 8980 and 8984 = 20169080

Step 1: Find the prime factorization of 8980

8980 = 2 x 2 x 5 x 449

Step 2: Find the prime factorization of 8984

8984 = 2 x 2 x 2 x 1123

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

LCM = 20169080 = 2 x 2 x 2 x 5 x 449 x 1123

Step 4: Therefore, the least common multiple of 8980 and 8984 is 20169080.