Least Common Multiple of 653 and 656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 653 and 656 the smallest integer that is 428368 that is divisible by both numbers.

Least Common Multiple (LCM) of 653 and 656 is 428368.

LCM(653,656) = 428368

LCM of 653 and 656

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

LCM of:
and

Least Common Multiple of 653 and 656

LCM of 653 and 656 is 428368

Least common multiple can be found by multiplying the highest exponent prime factors of 653 and 656. First we will calculate the prime factors of 653 and 656.

Prime Factorization of 653


653 653
1

Prime factors of 653 are 653. Prime factorization of 653 in exponential form is:

653 = 6531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 653 and 656.

LCM(653,656) = 24×411×6531
LCM(653,656) = 428368

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1, 653

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

Least Common Multiple of 653 and 656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 653 and 656, than apply into the LCM equation.

GCF(653,656) = 1
LCM(653,656) = ( 653 × 656) / 1
LCM(653,656) = 428368 / 1
LCM(653,656) = 428368

Properties of LCM 653 and 656

(i) The LCM of 656 and 653 is associative

LCM of 653 and 656 = LCM of 656 and 653

Related Least Common Multiples of 653

Related Least Common Multiples of 656

Frequently Asked Questions on LCM of 653 and 656

1. What is the LCM of 653 and 656?

Answer: LCM of 653 and 656 is 428368.

2. What are the Factors of 653?

Answer: Factors of 653 are 1, 653. There are 2 integers that are factors of 653. The greatest factor of 653 is 653.

3. 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.

4. How to Find the LCM of 653 and 656?

Answer:

Least Common Multiple of 653 and 656 = 428368

Step 1: Find the prime factorization of 653

653 = 653

Step 2: Find the prime factorization of 656

656 = 2 x 2 x 2 x 2 x 41

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

LCM = 428368 = 2 x 2 x 2 x 2 x 41 x 653

Step 4: Therefore, the least common multiple of 653 and 656 is 428368.