Least Common Multiple of 8657 and 8658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8657 and 8658 the smallest integer that is 74952306 that is divisible by both numbers.

Least Common Multiple (LCM) of 8657 and 8658 is 74952306.

LCM(8657,8658) = 74952306

LCM of 8657 and 8658

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

LCM of:
and

Least Common Multiple of 8657 and 8658

LCM of 8657 and 8658 is 74952306

Least common multiple can be found by multiplying the highest exponent prime factors of 8657 and 8658. First we will calculate the prime factors of 8657 and 8658.

Prime Factorization of 8657


11 8657
787 787
1

Prime factors of 8657 are 11,787. Prime factorization of 8657 in exponential form is:

8657 = 111×7871

Prime Factorization of 8658


2 8658
3 4329
3 1443
13 481
37 37
1

Prime factors of 8658 are 2, 3, 13,37. Prime factorization of 8658 in exponential form is:

8658 = 21×32×131×371

Now multiplying the highest exponent prime factors to calculate the LCM of 8657 and 8658.

LCM(8657,8658) = 21×32×111×131×371×7871
LCM(8657,8658) = 74952306

Factors of 8657

List of positive integer factors of 8657 that divides 8657 without a remainder.

1, 11, 787, 8657

Factors of 8658

List of positive integer factors of 8658 that divides 8658 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 37, 39, 74, 78, 111, 117, 222, 234, 333, 481, 666, 962, 1443, 2886, 4329, 8658

Least Common Multiple of 8657 and 8658 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8657 and 8658, than apply into the LCM equation.

GCF(8657,8658) = 1
LCM(8657,8658) = ( 8657 × 8658) / 1
LCM(8657,8658) = 74952306 / 1
LCM(8657,8658) = 74952306

Properties of LCM 8657 and 8658

(i) The LCM of 8658 and 8657 is associative

LCM of 8657 and 8658 = LCM of 8658 and 8657

Related Least Common Multiples of 8657

Related Least Common Multiples of 8658

Frequently Asked Questions on LCM of 8657 and 8658

1. What is the LCM of 8657 and 8658?

Answer: LCM of 8657 and 8658 is 74952306.

2. What are the Factors of 8657?

Answer: Factors of 8657 are 1, 11, 787, 8657. There are 4 integers that are factors of 8657. The greatest factor of 8657 is 8657.

3. What are the Factors of 8658?

Answer: Factors of 8658 are 1, 2, 3, 6, 9, 13, 18, 26, 37, 39, 74, 78, 111, 117, 222, 234, 333, 481, 666, 962, 1443, 2886, 4329, 8658. There are 24 integers that are factors of 8658. The greatest factor of 8658 is 8658.

4. How to Find the LCM of 8657 and 8658?

Answer:

Least Common Multiple of 8657 and 8658 = 74952306

Step 1: Find the prime factorization of 8657

8657 = 11 x 787

Step 2: Find the prime factorization of 8658

8658 = 2 x 3 x 3 x 13 x 37

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

LCM = 74952306 = 2 x 3 x 3 x 11 x 13 x 37 x 787

Step 4: Therefore, the least common multiple of 8657 and 8658 is 74952306.