Least Common Multiple of 8979 and 8985

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8979 and 8985 the smallest integer that is 26892105 that is divisible by both numbers.

Least Common Multiple (LCM) of 8979 and 8985 is 26892105.

LCM(8979,8985) = 26892105

LCM of 8979 and 8985

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

LCM of:
and

Least Common Multiple of 8979 and 8985

LCM of 8979 and 8985 is 26892105

Least common multiple can be found by multiplying the highest exponent prime factors of 8979 and 8985. First we will calculate the prime factors of 8979 and 8985.

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

Prime Factorization of 8985


3 8985
5 2995
599 599
1

Prime factors of 8985 are 3, 5,599. Prime factorization of 8985 in exponential form is:

8985 = 31×51×5991

Now multiplying the highest exponent prime factors to calculate the LCM of 8979 and 8985.

LCM(8979,8985) = 31×51×411×731×5991
LCM(8979,8985) = 26892105

Factors of 8979

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

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

Factors of 8985

List of positive integer factors of 8985 that divides 8985 without a remainder.

1, 3, 5, 15, 599, 1797, 2995, 8985

Least Common Multiple of 8979 and 8985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8979 and 8985, than apply into the LCM equation.

GCF(8979,8985) = 3
LCM(8979,8985) = ( 8979 × 8985) / 3
LCM(8979,8985) = 80676315 / 3
LCM(8979,8985) = 26892105

Properties of LCM 8979 and 8985

(i) The LCM of 8985 and 8979 is associative

LCM of 8979 and 8985 = LCM of 8985 and 8979

Related Least Common Multiples of 8979

Related Least Common Multiples of 8985

Frequently Asked Questions on LCM of 8979 and 8985

1. What is the LCM of 8979 and 8985?

Answer: LCM of 8979 and 8985 is 26892105.

2. 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.

3. What are the Factors of 8985?

Answer: Factors of 8985 are 1, 3, 5, 15, 599, 1797, 2995, 8985. There are 8 integers that are factors of 8985. The greatest factor of 8985 is 8985.

4. How to Find the LCM of 8979 and 8985?

Answer:

Least Common Multiple of 8979 and 8985 = 26892105

Step 1: Find the prime factorization of 8979

8979 = 3 x 41 x 73

Step 2: Find the prime factorization of 8985

8985 = 3 x 5 x 599

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

LCM = 26892105 = 3 x 5 x 41 x 73 x 599

Step 4: Therefore, the least common multiple of 8979 and 8985 is 26892105.