Least Common Multiple of 654 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 654 and 656 the smallest integer that is 214512 that is divisible by both numbers.

Least Common Multiple (LCM) of 654 and 656 is 214512.

LCM(654,656) = 214512

LCM of 654 and 656

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

LCM of:
and

Least Common Multiple of 654 and 656

LCM of 654 and 656 is 214512

Least common multiple can be found by multiplying the highest exponent prime factors of 654 and 656. First we will calculate the prime factors of 654 and 656.

Prime Factorization of 654


2 654
3 327
109 109
1

Prime factors of 654 are 2, 3,109. Prime factorization of 654 in exponential form is:

654 = 21×31×1091

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 654 and 656.

LCM(654,656) = 24×31×411×1091
LCM(654,656) = 214512

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

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 654 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 654 and 656, than apply into the LCM equation.

GCF(654,656) = 2
LCM(654,656) = ( 654 × 656) / 2
LCM(654,656) = 429024 / 2
LCM(654,656) = 214512

Properties of LCM 654 and 656

(i) The LCM of 656 and 654 is associative

LCM of 654 and 656 = LCM of 656 and 654

Related Least Common Multiples of 654

Related Least Common Multiples of 656

Frequently Asked Questions on LCM of 654 and 656

1. What is the LCM of 654 and 656?

Answer: LCM of 654 and 656 is 214512.

2. What are the Factors of 654?

Answer: Factors of 654 are 1, 2, 3, 6, 109, 218, 327, 654. There are 8 integers that are factors of 654. The greatest factor of 654 is 654.

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 654 and 656?

Answer:

Least Common Multiple of 654 and 656 = 214512

Step 1: Find the prime factorization of 654

654 = 2 x 3 x 109

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 = 214512 = 2 x 2 x 2 x 2 x 3 x 41 x 109

Step 4: Therefore, the least common multiple of 654 and 656 is 214512.