Least Common Multiple of 661 and 669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 661 and 669 the smallest integer that is 442209 that is divisible by both numbers.

Least Common Multiple (LCM) of 661 and 669 is 442209.

LCM(661,669) = 442209

LCM of 661 and 669

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

LCM of:
and

Least Common Multiple of 661 and 669

LCM of 661 and 669 is 442209

Least common multiple can be found by multiplying the highest exponent prime factors of 661 and 669. First we will calculate the prime factors of 661 and 669.

Prime Factorization of 661


661 661
1

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

661 = 6611

Prime Factorization of 669


3 669
223 223
1

Prime factors of 669 are 3,223. Prime factorization of 669 in exponential form is:

669 = 31×2231

Now multiplying the highest exponent prime factors to calculate the LCM of 661 and 669.

LCM(661,669) = 31×2231×6611
LCM(661,669) = 442209

Factors of 661

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

1, 661

Factors of 669

List of positive integer factors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Least Common Multiple of 661 and 669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 661 and 669, than apply into the LCM equation.

GCF(661,669) = 1
LCM(661,669) = ( 661 × 669) / 1
LCM(661,669) = 442209 / 1
LCM(661,669) = 442209

Properties of LCM 661 and 669

(i) The LCM of 669 and 661 is associative

LCM of 661 and 669 = LCM of 669 and 661

Related Least Common Multiples of 661

Related Least Common Multiples of 669

Frequently Asked Questions on LCM of 661 and 669

1. What is the LCM of 661 and 669?

Answer: LCM of 661 and 669 is 442209.

2. 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.

3. What are the Factors of 669?

Answer: Factors of 669 are 1, 3, 223, 669. There are 4 integers that are factors of 669. The greatest factor of 669 is 669.

4. How to Find the LCM of 661 and 669?

Answer:

Least Common Multiple of 661 and 669 = 442209

Step 1: Find the prime factorization of 661

661 = 661

Step 2: Find the prime factorization of 669

669 = 3 x 223

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

LCM = 442209 = 3 x 223 x 661

Step 4: Therefore, the least common multiple of 661 and 669 is 442209.