Least Common Multiple of 8978 and 8984

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 8984 the smallest integer that is 40329176 that is divisible by both numbers.

Least Common Multiple (LCM) of 8978 and 8984 is 40329176.

LCM(8978,8984) = 40329176

LCM of 8978 and 8984

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

LCM of:
and

Least Common Multiple of 8978 and 8984

LCM of 8978 and 8984 is 40329176

Least common multiple can be found by multiplying the highest exponent prime factors of 8978 and 8984. First we will calculate the prime factors of 8978 and 8984.

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 8984


2 8984
2 4492
2 2246
1123 1123
1

Prime factors of 8984 are 2,1123. Prime factorization of 8984 in exponential form is:

8984 = 23×11231

Now multiplying the highest exponent prime factors to calculate the LCM of 8978 and 8984.

LCM(8978,8984) = 23×672×11231
LCM(8978,8984) = 40329176

Factors of 8978

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

1, 2, 67, 134, 4489, 8978

Factors of 8984

List of positive integer factors of 8984 that divides 8984 without a remainder.

1, 2, 4, 8, 1123, 2246, 4492, 8984

Least Common Multiple of 8978 and 8984 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 8984, than apply into the LCM equation.

GCF(8978,8984) = 2
LCM(8978,8984) = ( 8978 × 8984) / 2
LCM(8978,8984) = 80658352 / 2
LCM(8978,8984) = 40329176

Properties of LCM 8978 and 8984

(i) The LCM of 8984 and 8978 is associative

LCM of 8978 and 8984 = LCM of 8984 and 8978

Related Least Common Multiples of 8978

Related Least Common Multiples of 8984

Frequently Asked Questions on LCM of 8978 and 8984

1. What is the LCM of 8978 and 8984?

Answer: LCM of 8978 and 8984 is 40329176.

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 8984?

Answer: Factors of 8984 are 1, 2, 4, 8, 1123, 2246, 4492, 8984. There are 8 integers that are factors of 8984. The greatest factor of 8984 is 8984.

4. How to Find the LCM of 8978 and 8984?

Answer:

Least Common Multiple of 8978 and 8984 = 40329176

Step 1: Find the prime factorization of 8978

8978 = 2 x 67 x 67

Step 2: Find the prime factorization of 8984

8984 = 2 x 2 x 2 x 1123

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

LCM = 40329176 = 2 x 2 x 2 x 67 x 67 x 1123

Step 4: Therefore, the least common multiple of 8978 and 8984 is 40329176.