Least Common Multiple of 656 and 657

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 656 and 657 the smallest integer that is 430992 that is divisible by both numbers.

Least Common Multiple (LCM) of 656 and 657 is 430992.

LCM(656,657) = 430992

LCM of 656 and 657

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

LCM of:
and

Least Common Multiple of 656 and 657

LCM of 656 and 657 is 430992

Least common multiple can be found by multiplying the highest exponent prime factors of 656 and 657. First we will calculate the prime factors of 656 and 657.

Prime Factorization of 656


2 656
2 328
2 164
2 82
41 41
1

Prime factors of 656 are 2,41. Prime factorization of 656 in exponential form is:

656 = 24×411

Prime Factorization of 657


3 657
3 219
73 73
1

Prime factors of 657 are 3,73. Prime factorization of 657 in exponential form is:

657 = 32×731

Now multiplying the highest exponent prime factors to calculate the LCM of 656 and 657.

LCM(656,657) = 24×32×411×731
LCM(656,657) = 430992

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Factors of 657

List of positive integer factors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Least Common Multiple of 656 and 657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 656 and 657, than apply into the LCM equation.

GCF(656,657) = 1
LCM(656,657) = ( 656 × 657) / 1
LCM(656,657) = 430992 / 1
LCM(656,657) = 430992

Properties of LCM 656 and 657

(i) The LCM of 657 and 656 is associative

LCM of 656 and 657 = LCM of 657 and 656

Related Least Common Multiples of 656

Related Least Common Multiples of 657

Frequently Asked Questions on LCM of 656 and 657

1. What is the LCM of 656 and 657?

Answer: LCM of 656 and 657 is 430992.

2. What are the Factors of 656?

Answer: Factors of 656 are 1, 2, 4, 8, 16, 41, 82, 164, 328, 656. There are 10 integers that are factors of 656. The greatest factor of 656 is 656.

3. What are the Factors of 657?

Answer: Factors of 657 are 1, 3, 9, 73, 219, 657. There are 6 integers that are factors of 657. The greatest factor of 657 is 657.

4. How to Find the LCM of 656 and 657?

Answer:

Least Common Multiple of 656 and 657 = 430992

Step 1: Find the prime factorization of 656

656 = 2 x 2 x 2 x 2 x 41

Step 2: Find the prime factorization of 657

657 = 3 x 3 x 73

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

LCM = 430992 = 2 x 2 x 2 x 2 x 3 x 3 x 41 x 73

Step 4: Therefore, the least common multiple of 656 and 657 is 430992.