Least Common Multiple of 657 and 661

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 661 the smallest integer that is 434277 that is divisible by both numbers.

Least Common Multiple (LCM) of 657 and 661 is 434277.

LCM(657,661) = 434277

LCM of 657 and 661

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

LCM of:
and

Least Common Multiple of 657 and 661

LCM of 657 and 661 is 434277

Least common multiple can be found by multiplying the highest exponent prime factors of 657 and 661. First we will calculate the prime factors of 657 and 661.

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 661


661 661
1

Prime factors of 661 are 661. Prime factorization of 661 in exponential form is:

661 = 6611

Now multiplying the highest exponent prime factors to calculate the LCM of 657 and 661.

LCM(657,661) = 32×731×6611
LCM(657,661) = 434277

Factors of 657

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

1, 3, 9, 73, 219, 657

Factors of 661

List of positive integer factors of 661 that divides 661 without a remainder.

1, 661

Least Common Multiple of 657 and 661 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 661, than apply into the LCM equation.

GCF(657,661) = 1
LCM(657,661) = ( 657 × 661) / 1
LCM(657,661) = 434277 / 1
LCM(657,661) = 434277

Properties of LCM 657 and 661

(i) The LCM of 661 and 657 is associative

LCM of 657 and 661 = LCM of 661 and 657

Related Least Common Multiples of 657

Related Least Common Multiples of 661

Frequently Asked Questions on LCM of 657 and 661

1. What is the LCM of 657 and 661?

Answer: LCM of 657 and 661 is 434277.

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 661?

Answer: Factors of 661 are 1, 661. There are 2 integers that are factors of 661. The greatest factor of 661 is 661.

4. How to Find the LCM of 657 and 661?

Answer:

Least Common Multiple of 657 and 661 = 434277

Step 1: Find the prime factorization of 657

657 = 3 x 3 x 73

Step 2: Find the prime factorization of 661

661 = 661

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

LCM = 434277 = 3 x 3 x 73 x 661

Step 4: Therefore, the least common multiple of 657 and 661 is 434277.