Least Common Multiple of 8972 and 8980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8972 and 8980 the smallest integer that is 20142140 that is divisible by both numbers.

Least Common Multiple (LCM) of 8972 and 8980 is 20142140.

LCM(8972,8980) = 20142140

LCM of 8972 and 8980

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

LCM of:
and

Least Common Multiple of 8972 and 8980

LCM of 8972 and 8980 is 20142140

Least common multiple can be found by multiplying the highest exponent prime factors of 8972 and 8980. First we will calculate the prime factors of 8972 and 8980.

Prime Factorization of 8972


2 8972
2 4486
2243 2243
1

Prime factors of 8972 are 2,2243. Prime factorization of 8972 in exponential form is:

8972 = 22×22431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8972 and 8980.

LCM(8972,8980) = 22×51×4491×22431
LCM(8972,8980) = 20142140

Factors of 8972

List of positive integer factors of 8972 that divides 8972 without a remainder.

1, 2, 4, 2243, 4486, 8972

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

Least Common Multiple of 8972 and 8980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8972 and 8980, than apply into the LCM equation.

GCF(8972,8980) = 4
LCM(8972,8980) = ( 8972 × 8980) / 4
LCM(8972,8980) = 80568560 / 4
LCM(8972,8980) = 20142140

Properties of LCM 8972 and 8980

(i) The LCM of 8980 and 8972 is associative

LCM of 8972 and 8980 = LCM of 8980 and 8972

Related Least Common Multiples of 8972

Related Least Common Multiples of 8980

Frequently Asked Questions on LCM of 8972 and 8980

1. What is the LCM of 8972 and 8980?

Answer: LCM of 8972 and 8980 is 20142140.

2. What are the Factors of 8972?

Answer: Factors of 8972 are 1, 2, 4, 2243, 4486, 8972. There are 6 integers that are factors of 8972. The greatest factor of 8972 is 8972.

3. 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.

4. How to Find the LCM of 8972 and 8980?

Answer:

Least Common Multiple of 8972 and 8980 = 20142140

Step 1: Find the prime factorization of 8972

8972 = 2 x 2 x 2243

Step 2: Find the prime factorization of 8980

8980 = 2 x 2 x 5 x 449

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

LCM = 20142140 = 2 x 2 x 5 x 449 x 2243

Step 4: Therefore, the least common multiple of 8972 and 8980 is 20142140.