Least Common Multiple of 8657 and 8661

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 8661 the smallest integer that is 74978277 that is divisible by both numbers.

Least Common Multiple (LCM) of 8657 and 8661 is 74978277.

LCM(8657,8661) = 74978277

LCM of 8657 and 8661

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

LCM of:
and

Least Common Multiple of 8657 and 8661

LCM of 8657 and 8661 is 74978277

Least common multiple can be found by multiplying the highest exponent prime factors of 8657 and 8661. First we will calculate the prime factors of 8657 and 8661.

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 8661


3 8661
2887 2887
1

Prime factors of 8661 are 3,2887. Prime factorization of 8661 in exponential form is:

8661 = 31×28871

Now multiplying the highest exponent prime factors to calculate the LCM of 8657 and 8661.

LCM(8657,8661) = 31×111×7871×28871
LCM(8657,8661) = 74978277

Factors of 8657

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

1, 11, 787, 8657

Factors of 8661

List of positive integer factors of 8661 that divides 8661 without a remainder.

1, 3, 2887, 8661

Least Common Multiple of 8657 and 8661 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 8661, than apply into the LCM equation.

GCF(8657,8661) = 1
LCM(8657,8661) = ( 8657 × 8661) / 1
LCM(8657,8661) = 74978277 / 1
LCM(8657,8661) = 74978277

Properties of LCM 8657 and 8661

(i) The LCM of 8661 and 8657 is associative

LCM of 8657 and 8661 = LCM of 8661 and 8657

Related Least Common Multiples of 8657

Related Least Common Multiples of 8661

Frequently Asked Questions on LCM of 8657 and 8661

1. What is the LCM of 8657 and 8661?

Answer: LCM of 8657 and 8661 is 74978277.

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 8661?

Answer: Factors of 8661 are 1, 3, 2887, 8661. There are 4 integers that are factors of 8661. The greatest factor of 8661 is 8661.

4. How to Find the LCM of 8657 and 8661?

Answer:

Least Common Multiple of 8657 and 8661 = 74978277

Step 1: Find the prime factorization of 8657

8657 = 11 x 787

Step 2: Find the prime factorization of 8661

8661 = 3 x 2887

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

LCM = 74978277 = 3 x 11 x 787 x 2887

Step 4: Therefore, the least common multiple of 8657 and 8661 is 74978277.