Least Common Multiple of 8656 and 8657

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8656 and 8657 the smallest integer that is 74934992 that is divisible by both numbers.

Least Common Multiple (LCM) of 8656 and 8657 is 74934992.

LCM(8656,8657) = 74934992

LCM of 8656 and 8657

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

LCM of:
and

Least Common Multiple of 8656 and 8657

LCM of 8656 and 8657 is 74934992

Least common multiple can be found by multiplying the highest exponent prime factors of 8656 and 8657. First we will calculate the prime factors of 8656 and 8657.

Prime Factorization of 8656


2 8656
2 4328
2 2164
2 1082
541 541
1

Prime factors of 8656 are 2,541. Prime factorization of 8656 in exponential form is:

8656 = 24×5411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8656 and 8657.

LCM(8656,8657) = 24×111×5411×7871
LCM(8656,8657) = 74934992

Factors of 8656

List of positive integer factors of 8656 that divides 8656 without a remainder.

1, 2, 4, 8, 16, 541, 1082, 2164, 4328, 8656

Factors of 8657

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

1, 11, 787, 8657

Least Common Multiple of 8656 and 8657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8656 and 8657, than apply into the LCM equation.

GCF(8656,8657) = 1
LCM(8656,8657) = ( 8656 × 8657) / 1
LCM(8656,8657) = 74934992 / 1
LCM(8656,8657) = 74934992

Properties of LCM 8656 and 8657

(i) The LCM of 8657 and 8656 is associative

LCM of 8656 and 8657 = LCM of 8657 and 8656

Related Least Common Multiples of 8656

Related Least Common Multiples of 8657

Frequently Asked Questions on LCM of 8656 and 8657

1. What is the LCM of 8656 and 8657?

Answer: LCM of 8656 and 8657 is 74934992.

2. What are the Factors of 8656?

Answer: Factors of 8656 are 1, 2, 4, 8, 16, 541, 1082, 2164, 4328, 8656. There are 10 integers that are factors of 8656. The greatest factor of 8656 is 8656.

3. 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.

4. How to Find the LCM of 8656 and 8657?

Answer:

Least Common Multiple of 8656 and 8657 = 74934992

Step 1: Find the prime factorization of 8656

8656 = 2 x 2 x 2 x 2 x 541

Step 2: Find the prime factorization of 8657

8657 = 11 x 787

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

LCM = 74934992 = 2 x 2 x 2 x 2 x 11 x 541 x 787

Step 4: Therefore, the least common multiple of 8656 and 8657 is 74934992.