Least Common Multiple of 8978 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 8978 and 8979 the smallest integer that is 80613462 that is divisible by both numbers.

Least Common Multiple (LCM) of 8978 and 8979 is 80613462.

LCM(8978,8979) = 80613462

LCM of 8978 and 8979

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

LCM of:
and

Least Common Multiple of 8978 and 8979

LCM of 8978 and 8979 is 80613462

Least common multiple can be found by multiplying the highest exponent prime factors of 8978 and 8979. First we will calculate the prime factors of 8978 and 8979.

Prime Factorization of 8978


2 8978
67 4489
67 67
1

Prime factors of 8978 are 2,67. Prime factorization of 8978 in exponential form is:

8978 = 21×672

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 8978 and 8979.

LCM(8978,8979) = 21×31×411×672×731
LCM(8978,8979) = 80613462

Factors of 8978

List of positive integer factors of 8978 that divides 8978 without a remainder.

1, 2, 67, 134, 4489, 8978

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 8978 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 8978 and 8979, than apply into the LCM equation.

GCF(8978,8979) = 1
LCM(8978,8979) = ( 8978 × 8979) / 1
LCM(8978,8979) = 80613462 / 1
LCM(8978,8979) = 80613462

Properties of LCM 8978 and 8979

(i) The LCM of 8979 and 8978 is associative

LCM of 8978 and 8979 = LCM of 8979 and 8978

Related Least Common Multiples of 8978

Related Least Common Multiples of 8979

Frequently Asked Questions on LCM of 8978 and 8979

1. What is the LCM of 8978 and 8979?

Answer: LCM of 8978 and 8979 is 80613462.

2. What are the Factors of 8978?

Answer: Factors of 8978 are 1, 2, 67, 134, 4489, 8978. There are 6 integers that are factors of 8978. The greatest factor of 8978 is 8978.

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 8978 and 8979?

Answer:

Least Common Multiple of 8978 and 8979 = 80613462

Step 1: Find the prime factorization of 8978

8978 = 2 x 67 x 67

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 = 80613462 = 2 x 3 x 41 x 67 x 67 x 73

Step 4: Therefore, the least common multiple of 8978 and 8979 is 80613462.