Least Common Multiple of 657 and 665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 657 and 665 the smallest integer that is 436905 that is divisible by both numbers.

Least Common Multiple (LCM) of 657 and 665 is 436905.

LCM(657,665) = 436905

LCM of 657 and 665

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

LCM of:
and

Least Common Multiple of 657 and 665

LCM of 657 and 665 is 436905

Least common multiple can be found by multiplying the highest exponent prime factors of 657 and 665. First we will calculate the prime factors of 657 and 665.

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

Prime Factorization of 665


5 665
7 133
19 19
1

Prime factors of 665 are 5, 7,19. Prime factorization of 665 in exponential form is:

665 = 51×71×191

Now multiplying the highest exponent prime factors to calculate the LCM of 657 and 665.

LCM(657,665) = 32×51×71×191×731
LCM(657,665) = 436905

Factors of 657

List of positive integer factors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1, 5, 7, 19, 35, 95, 133, 665

Least Common Multiple of 657 and 665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 657 and 665, than apply into the LCM equation.

GCF(657,665) = 1
LCM(657,665) = ( 657 × 665) / 1
LCM(657,665) = 436905 / 1
LCM(657,665) = 436905

Properties of LCM 657 and 665

(i) The LCM of 665 and 657 is associative

LCM of 657 and 665 = LCM of 665 and 657

Related Least Common Multiples of 657

Related Least Common Multiples of 665

Frequently Asked Questions on LCM of 657 and 665

1. What is the LCM of 657 and 665?

Answer: LCM of 657 and 665 is 436905.

2. 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.

3. What are the Factors of 665?

Answer: Factors of 665 are 1, 5, 7, 19, 35, 95, 133, 665. There are 8 integers that are factors of 665. The greatest factor of 665 is 665.

4. How to Find the LCM of 657 and 665?

Answer:

Least Common Multiple of 657 and 665 = 436905

Step 1: Find the prime factorization of 657

657 = 3 x 3 x 73

Step 2: Find the prime factorization of 665

665 = 5 x 7 x 19

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

LCM = 436905 = 3 x 3 x 5 x 7 x 19 x 73

Step 4: Therefore, the least common multiple of 657 and 665 is 436905.