Least Common Multiple of 8974 and 8978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8974 and 8978 the smallest integer that is 40284286 that is divisible by both numbers.

Least Common Multiple (LCM) of 8974 and 8978 is 40284286.

LCM(8974,8978) = 40284286

LCM of 8974 and 8978

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

LCM of:
and

Least Common Multiple of 8974 and 8978

LCM of 8974 and 8978 is 40284286

Least common multiple can be found by multiplying the highest exponent prime factors of 8974 and 8978. First we will calculate the prime factors of 8974 and 8978.

Prime Factorization of 8974


2 8974
7 4487
641 641
1

Prime factors of 8974 are 2, 7,641. Prime factorization of 8974 in exponential form is:

8974 = 21×71×6411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8974 and 8978.

LCM(8974,8978) = 21×71×672×6411
LCM(8974,8978) = 40284286

Factors of 8974

List of positive integer factors of 8974 that divides 8974 without a remainder.

1, 2, 7, 14, 641, 1282, 4487, 8974

Factors of 8978

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

1, 2, 67, 134, 4489, 8978

Least Common Multiple of 8974 and 8978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8974 and 8978, than apply into the LCM equation.

GCF(8974,8978) = 2
LCM(8974,8978) = ( 8974 × 8978) / 2
LCM(8974,8978) = 80568572 / 2
LCM(8974,8978) = 40284286

Properties of LCM 8974 and 8978

(i) The LCM of 8978 and 8974 is associative

LCM of 8974 and 8978 = LCM of 8978 and 8974

Related Least Common Multiples of 8974

Related Least Common Multiples of 8978

Frequently Asked Questions on LCM of 8974 and 8978

1. What is the LCM of 8974 and 8978?

Answer: LCM of 8974 and 8978 is 40284286.

2. What are the Factors of 8974?

Answer: Factors of 8974 are 1, 2, 7, 14, 641, 1282, 4487, 8974. There are 8 integers that are factors of 8974. The greatest factor of 8974 is 8974.

3. 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.

4. How to Find the LCM of 8974 and 8978?

Answer:

Least Common Multiple of 8974 and 8978 = 40284286

Step 1: Find the prime factorization of 8974

8974 = 2 x 7 x 641

Step 2: Find the prime factorization of 8978

8978 = 2 x 67 x 67

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

LCM = 40284286 = 2 x 7 x 67 x 67 x 641

Step 4: Therefore, the least common multiple of 8974 and 8978 is 40284286.