Least Common Multiple of 8970 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 8970 and 8978 the smallest integer that is 40266330 that is divisible by both numbers.

Least Common Multiple (LCM) of 8970 and 8978 is 40266330.

LCM(8970,8978) = 40266330

LCM of 8970 and 8978

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

LCM of:
and

Least Common Multiple of 8970 and 8978

LCM of 8970 and 8978 is 40266330

Least common multiple can be found by multiplying the highest exponent prime factors of 8970 and 8978. First we will calculate the prime factors of 8970 and 8978.

Prime Factorization of 8970


2 8970
3 4485
5 1495
13 299
23 23
1

Prime factors of 8970 are 2, 3, 5, 13,23. Prime factorization of 8970 in exponential form is:

8970 = 21×31×51×131×231

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 8970 and 8978.

LCM(8970,8978) = 21×31×51×131×231×672
LCM(8970,8978) = 40266330

Factors of 8970

List of positive integer factors of 8970 that divides 8970 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 23, 26, 30, 39, 46, 65, 69, 78, 115, 130, 138, 195, 230, 299, 345, 390, 598, 690, 897, 1495, 1794, 2990, 4485, 8970

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 8970 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 8970 and 8978, than apply into the LCM equation.

GCF(8970,8978) = 2
LCM(8970,8978) = ( 8970 × 8978) / 2
LCM(8970,8978) = 80532660 / 2
LCM(8970,8978) = 40266330

Properties of LCM 8970 and 8978

(i) The LCM of 8978 and 8970 is associative

LCM of 8970 and 8978 = LCM of 8978 and 8970

Related Least Common Multiples of 8970

Related Least Common Multiples of 8978

Frequently Asked Questions on LCM of 8970 and 8978

1. What is the LCM of 8970 and 8978?

Answer: LCM of 8970 and 8978 is 40266330.

2. What are the Factors of 8970?

Answer: Factors of 8970 are 1, 2, 3, 5, 6, 10, 13, 15, 23, 26, 30, 39, 46, 65, 69, 78, 115, 130, 138, 195, 230, 299, 345, 390, 598, 690, 897, 1495, 1794, 2990, 4485, 8970. There are 32 integers that are factors of 8970. The greatest factor of 8970 is 8970.

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 8970 and 8978?

Answer:

Least Common Multiple of 8970 and 8978 = 40266330

Step 1: Find the prime factorization of 8970

8970 = 2 x 3 x 5 x 13 x 23

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 = 40266330 = 2 x 3 x 5 x 13 x 23 x 67 x 67

Step 4: Therefore, the least common multiple of 8970 and 8978 is 40266330.