Least Common Multiple of 651 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 651 and 656 the smallest integer that is 427056 that is divisible by both numbers.

Least Common Multiple (LCM) of 651 and 656 is 427056.

LCM(651,656) = 427056

LCM of 651 and 656

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

LCM of:
and

Least Common Multiple of 651 and 656

LCM of 651 and 656 is 427056

Least common multiple can be found by multiplying the highest exponent prime factors of 651 and 656. First we will calculate the prime factors of 651 and 656.

Prime Factorization of 651


3 651
7 217
31 31
1

Prime factors of 651 are 3, 7,31. Prime factorization of 651 in exponential form is:

651 = 31×71×311

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 651 and 656.

LCM(651,656) = 24×31×71×311×411
LCM(651,656) = 427056

Factors of 651

List of positive integer factors of 651 that divides 651 without a remainder.

1, 3, 7, 21, 31, 93, 217, 651

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 651 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 651 and 656, than apply into the LCM equation.

GCF(651,656) = 1
LCM(651,656) = ( 651 × 656) / 1
LCM(651,656) = 427056 / 1
LCM(651,656) = 427056

Properties of LCM 651 and 656

(i) The LCM of 656 and 651 is associative

LCM of 651 and 656 = LCM of 656 and 651

Related Least Common Multiples of 651

Related Least Common Multiples of 656

Frequently Asked Questions on LCM of 651 and 656

1. What is the LCM of 651 and 656?

Answer: LCM of 651 and 656 is 427056.

2. What are the Factors of 651?

Answer: Factors of 651 are 1, 3, 7, 21, 31, 93, 217, 651. There are 8 integers that are factors of 651. The greatest factor of 651 is 651.

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 651 and 656?

Answer:

Least Common Multiple of 651 and 656 = 427056

Step 1: Find the prime factorization of 651

651 = 3 x 7 x 31

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 = 427056 = 2 x 2 x 2 x 2 x 3 x 7 x 31 x 41

Step 4: Therefore, the least common multiple of 651 and 656 is 427056.