Least Common Multiple of 8972 and 8977

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 8977 the smallest integer that is 80541644 that is divisible by both numbers.

Least Common Multiple (LCM) of 8972 and 8977 is 80541644.

LCM(8972,8977) = 80541644

LCM of 8972 and 8977

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

LCM of:
and

Least Common Multiple of 8972 and 8977

LCM of 8972 and 8977 is 80541644

Least common multiple can be found by multiplying the highest exponent prime factors of 8972 and 8977. First we will calculate the prime factors of 8972 and 8977.

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 8977


47 8977
191 191
1

Prime factors of 8977 are 47,191. Prime factorization of 8977 in exponential form is:

8977 = 471×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 8972 and 8977.

LCM(8972,8977) = 22×471×1911×22431
LCM(8972,8977) = 80541644

Factors of 8972

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

1, 2, 4, 2243, 4486, 8972

Factors of 8977

List of positive integer factors of 8977 that divides 8977 without a remainder.

1, 47, 191, 8977

Least Common Multiple of 8972 and 8977 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 8977, than apply into the LCM equation.

GCF(8972,8977) = 1
LCM(8972,8977) = ( 8972 × 8977) / 1
LCM(8972,8977) = 80541644 / 1
LCM(8972,8977) = 80541644

Properties of LCM 8972 and 8977

(i) The LCM of 8977 and 8972 is associative

LCM of 8972 and 8977 = LCM of 8977 and 8972

Related Least Common Multiples of 8972

Related Least Common Multiples of 8977

Frequently Asked Questions on LCM of 8972 and 8977

1. What is the LCM of 8972 and 8977?

Answer: LCM of 8972 and 8977 is 80541644.

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 8977?

Answer: Factors of 8977 are 1, 47, 191, 8977. There are 4 integers that are factors of 8977. The greatest factor of 8977 is 8977.

4. How to Find the LCM of 8972 and 8977?

Answer:

Least Common Multiple of 8972 and 8977 = 80541644

Step 1: Find the prime factorization of 8972

8972 = 2 x 2 x 2243

Step 2: Find the prime factorization of 8977

8977 = 47 x 191

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

LCM = 80541644 = 2 x 2 x 47 x 191 x 2243

Step 4: Therefore, the least common multiple of 8972 and 8977 is 80541644.