Least Common Multiple of 649 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 649 and 656 the smallest integer that is 425744 that is divisible by both numbers.

Least Common Multiple (LCM) of 649 and 656 is 425744.

LCM(649,656) = 425744

LCM of 649 and 656

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

LCM of:
and

Least Common Multiple of 649 and 656

LCM of 649 and 656 is 425744

Least common multiple can be found by multiplying the highest exponent prime factors of 649 and 656. First we will calculate the prime factors of 649 and 656.

Prime Factorization of 649


11 649
59 59
1

Prime factors of 649 are 11,59. Prime factorization of 649 in exponential form is:

649 = 111×591

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 649 and 656.

LCM(649,656) = 24×111×411×591
LCM(649,656) = 425744

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1, 11, 59, 649

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 649 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 649 and 656, than apply into the LCM equation.

GCF(649,656) = 1
LCM(649,656) = ( 649 × 656) / 1
LCM(649,656) = 425744 / 1
LCM(649,656) = 425744

Properties of LCM 649 and 656

(i) The LCM of 656 and 649 is associative

LCM of 649 and 656 = LCM of 656 and 649

Related Least Common Multiples of 649

Related Least Common Multiples of 656

Frequently Asked Questions on LCM of 649 and 656

1. What is the LCM of 649 and 656?

Answer: LCM of 649 and 656 is 425744.

2. What are the Factors of 649?

Answer: Factors of 649 are 1, 11, 59, 649. There are 4 integers that are factors of 649. The greatest factor of 649 is 649.

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 649 and 656?

Answer:

Least Common Multiple of 649 and 656 = 425744

Step 1: Find the prime factorization of 649

649 = 11 x 59

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 = 425744 = 2 x 2 x 2 x 2 x 11 x 41 x 59

Step 4: Therefore, the least common multiple of 649 and 656 is 425744.