Least Common Multiple of 8972 and 8979

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 8979 the smallest integer that is 80559588 that is divisible by both numbers.

Least Common Multiple (LCM) of 8972 and 8979 is 80559588.

LCM(8972,8979) = 80559588

LCM of 8972 and 8979

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

LCM of:
and

Least Common Multiple of 8972 and 8979

LCM of 8972 and 8979 is 80559588

Least common multiple can be found by multiplying the highest exponent prime factors of 8972 and 8979. First we will calculate the prime factors of 8972 and 8979.

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 8979


3 8979
41 2993
73 73
1

Prime factors of 8979 are 3, 41,73. Prime factorization of 8979 in exponential form is:

8979 = 31×411×731

Now multiplying the highest exponent prime factors to calculate the LCM of 8972 and 8979.

LCM(8972,8979) = 22×31×411×731×22431
LCM(8972,8979) = 80559588

Factors of 8972

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

1, 2, 4, 2243, 4486, 8972

Factors of 8979

List of positive integer factors of 8979 that divides 8979 without a remainder.

1, 3, 41, 73, 123, 219, 2993, 8979

Least Common Multiple of 8972 and 8979 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 8979, than apply into the LCM equation.

GCF(8972,8979) = 1
LCM(8972,8979) = ( 8972 × 8979) / 1
LCM(8972,8979) = 80559588 / 1
LCM(8972,8979) = 80559588

Properties of LCM 8972 and 8979

(i) The LCM of 8979 and 8972 is associative

LCM of 8972 and 8979 = LCM of 8979 and 8972

Related Least Common Multiples of 8972

Related Least Common Multiples of 8979

Frequently Asked Questions on LCM of 8972 and 8979

1. What is the LCM of 8972 and 8979?

Answer: LCM of 8972 and 8979 is 80559588.

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 8979?

Answer: Factors of 8979 are 1, 3, 41, 73, 123, 219, 2993, 8979. There are 8 integers that are factors of 8979. The greatest factor of 8979 is 8979.

4. How to Find the LCM of 8972 and 8979?

Answer:

Least Common Multiple of 8972 and 8979 = 80559588

Step 1: Find the prime factorization of 8972

8972 = 2 x 2 x 2243

Step 2: Find the prime factorization of 8979

8979 = 3 x 41 x 73

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

LCM = 80559588 = 2 x 2 x 3 x 41 x 73 x 2243

Step 4: Therefore, the least common multiple of 8972 and 8979 is 80559588.