Least Common Multiple of 669 and 676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 669 and 676 the smallest integer that is 452244 that is divisible by both numbers.

Least Common Multiple (LCM) of 669 and 676 is 452244.

LCM(669,676) = 452244

LCM of 669 and 676

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

LCM of:
and

Least Common Multiple of 669 and 676

LCM of 669 and 676 is 452244

Least common multiple can be found by multiplying the highest exponent prime factors of 669 and 676. First we will calculate the prime factors of 669 and 676.

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

Prime Factorization of 676


2 676
2 338
13 169
13 13
1

Prime factors of 676 are 2,13. Prime factorization of 676 in exponential form is:

676 = 22×132

Now multiplying the highest exponent prime factors to calculate the LCM of 669 and 676.

LCM(669,676) = 22×31×132×2231
LCM(669,676) = 452244

Factors of 669

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

1, 3, 223, 669

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Least Common Multiple of 669 and 676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 669 and 676, than apply into the LCM equation.

GCF(669,676) = 1
LCM(669,676) = ( 669 × 676) / 1
LCM(669,676) = 452244 / 1
LCM(669,676) = 452244

Properties of LCM 669 and 676

(i) The LCM of 676 and 669 is associative

LCM of 669 and 676 = LCM of 676 and 669

Related Least Common Multiples of 669

Related Least Common Multiples of 676

Frequently Asked Questions on LCM of 669 and 676

1. What is the LCM of 669 and 676?

Answer: LCM of 669 and 676 is 452244.

2. 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.

3. What are the Factors of 676?

Answer: Factors of 676 are 1, 2, 4, 13, 26, 52, 169, 338, 676. There are 9 integers that are factors of 676. The greatest factor of 676 is 676.

4. How to Find the LCM of 669 and 676?

Answer:

Least Common Multiple of 669 and 676 = 452244

Step 1: Find the prime factorization of 669

669 = 3 x 223

Step 2: Find the prime factorization of 676

676 = 2 x 2 x 13 x 13

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

LCM = 452244 = 2 x 2 x 3 x 13 x 13 x 223

Step 4: Therefore, the least common multiple of 669 and 676 is 452244.