Least Common Multiple of 8970 and 8974

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 8974 the smallest integer that is 40248390 that is divisible by both numbers.

Least Common Multiple (LCM) of 8970 and 8974 is 40248390.

LCM(8970,8974) = 40248390

LCM of 8970 and 8974

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

LCM of:
and

Least Common Multiple of 8970 and 8974

LCM of 8970 and 8974 is 40248390

Least common multiple can be found by multiplying the highest exponent prime factors of 8970 and 8974. First we will calculate the prime factors of 8970 and 8974.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 8970 and 8974.

LCM(8970,8974) = 21×31×51×71×131×231×6411
LCM(8970,8974) = 40248390

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 8974

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

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

Least Common Multiple of 8970 and 8974 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 8974, than apply into the LCM equation.

GCF(8970,8974) = 2
LCM(8970,8974) = ( 8970 × 8974) / 2
LCM(8970,8974) = 80496780 / 2
LCM(8970,8974) = 40248390

Properties of LCM 8970 and 8974

(i) The LCM of 8974 and 8970 is associative

LCM of 8970 and 8974 = LCM of 8974 and 8970

Related Least Common Multiples of 8970

Related Least Common Multiples of 8974

Frequently Asked Questions on LCM of 8970 and 8974

1. What is the LCM of 8970 and 8974?

Answer: LCM of 8970 and 8974 is 40248390.

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 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.

4. How to Find the LCM of 8970 and 8974?

Answer:

Least Common Multiple of 8970 and 8974 = 40248390

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 8974

8974 = 2 x 7 x 641

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

LCM = 40248390 = 2 x 3 x 5 x 7 x 13 x 23 x 641

Step 4: Therefore, the least common multiple of 8970 and 8974 is 40248390.