Least Common Multiple of 655 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 655 and 657 the smallest integer that is 430335 that is divisible by both numbers.

Least Common Multiple (LCM) of 655 and 657 is 430335.

LCM(655,657) = 430335

LCM of 655 and 657

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

LCM of:
and

Least Common Multiple of 655 and 657

LCM of 655 and 657 is 430335

Least common multiple can be found by multiplying the highest exponent prime factors of 655 and 657. First we will calculate the prime factors of 655 and 657.

Prime Factorization of 655


5 655
131 131
1

Prime factors of 655 are 5,131. Prime factorization of 655 in exponential form is:

655 = 51×1311

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 655 and 657.

LCM(655,657) = 32×51×731×1311
LCM(655,657) = 430335

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1, 5, 131, 655

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 655 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 655 and 657, than apply into the LCM equation.

GCF(655,657) = 1
LCM(655,657) = ( 655 × 657) / 1
LCM(655,657) = 430335 / 1
LCM(655,657) = 430335

Properties of LCM 655 and 657

(i) The LCM of 657 and 655 is associative

LCM of 655 and 657 = LCM of 657 and 655

Related Least Common Multiples of 655

Related Least Common Multiples of 657

Frequently Asked Questions on LCM of 655 and 657

1. What is the LCM of 655 and 657?

Answer: LCM of 655 and 657 is 430335.

2. What are the Factors of 655?

Answer: Factors of 655 are 1, 5, 131, 655. There are 4 integers that are factors of 655. The greatest factor of 655 is 655.

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 655 and 657?

Answer:

Least Common Multiple of 655 and 657 = 430335

Step 1: Find the prime factorization of 655

655 = 5 x 131

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 = 430335 = 3 x 3 x 5 x 73 x 131

Step 4: Therefore, the least common multiple of 655 and 657 is 430335.