Least Common Multiple of 657 and 663

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 663 the smallest integer that is 145197 that is divisible by both numbers.

Least Common Multiple (LCM) of 657 and 663 is 145197.

LCM(657,663) = 145197

LCM of 657 and 663

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

LCM of:
and

Least Common Multiple of 657 and 663

LCM of 657 and 663 is 145197

Least common multiple can be found by multiplying the highest exponent prime factors of 657 and 663. First we will calculate the prime factors of 657 and 663.

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 663


3 663
13 221
17 17
1

Prime factors of 663 are 3, 13,17. Prime factorization of 663 in exponential form is:

663 = 31×131×171

Now multiplying the highest exponent prime factors to calculate the LCM of 657 and 663.

LCM(657,663) = 32×131×171×731
LCM(657,663) = 145197

Factors of 657

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

1, 3, 9, 73, 219, 657

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Least Common Multiple of 657 and 663 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 663, than apply into the LCM equation.

GCF(657,663) = 3
LCM(657,663) = ( 657 × 663) / 3
LCM(657,663) = 435591 / 3
LCM(657,663) = 145197

Properties of LCM 657 and 663

(i) The LCM of 663 and 657 is associative

LCM of 657 and 663 = LCM of 663 and 657

Related Least Common Multiples of 657

Related Least Common Multiples of 663

Frequently Asked Questions on LCM of 657 and 663

1. What is the LCM of 657 and 663?

Answer: LCM of 657 and 663 is 145197.

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 663?

Answer: Factors of 663 are 1, 3, 13, 17, 39, 51, 221, 663. There are 8 integers that are factors of 663. The greatest factor of 663 is 663.

4. How to Find the LCM of 657 and 663?

Answer:

Least Common Multiple of 657 and 663 = 145197

Step 1: Find the prime factorization of 657

657 = 3 x 3 x 73

Step 2: Find the prime factorization of 663

663 = 3 x 13 x 17

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

LCM = 145197 = 3 x 3 x 13 x 17 x 73

Step 4: Therefore, the least common multiple of 657 and 663 is 145197.