Least Common Multiple of 668 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 668 and 669 the smallest integer that is 446892 that is divisible by both numbers.

Least Common Multiple (LCM) of 668 and 669 is 446892.

LCM(668,669) = 446892

LCM of 668 and 669

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

LCM of:
and

Least Common Multiple of 668 and 669

LCM of 668 and 669 is 446892

Least common multiple can be found by multiplying the highest exponent prime factors of 668 and 669. First we will calculate the prime factors of 668 and 669.

Prime Factorization of 668


2 668
2 334
167 167
1

Prime factors of 668 are 2,167. Prime factorization of 668 in exponential form is:

668 = 22×1671

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 668 and 669.

LCM(668,669) = 22×31×1671×2231
LCM(668,669) = 446892

Factors of 668

List of positive integer factors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Factors of 669

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

1, 3, 223, 669

Least Common Multiple of 668 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 668 and 669, than apply into the LCM equation.

GCF(668,669) = 1
LCM(668,669) = ( 668 × 669) / 1
LCM(668,669) = 446892 / 1
LCM(668,669) = 446892

Properties of LCM 668 and 669

(i) The LCM of 669 and 668 is associative

LCM of 668 and 669 = LCM of 669 and 668

Related Least Common Multiples of 668

Related Least Common Multiples of 669

Frequently Asked Questions on LCM of 668 and 669

1. What is the LCM of 668 and 669?

Answer: LCM of 668 and 669 is 446892.

2. What are the Factors of 668?

Answer: Factors of 668 are 1, 2, 4, 167, 334, 668. There are 6 integers that are factors of 668. The greatest factor of 668 is 668.

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 668 and 669?

Answer:

Least Common Multiple of 668 and 669 = 446892

Step 1: Find the prime factorization of 668

668 = 2 x 2 x 167

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 = 446892 = 2 x 2 x 3 x 167 x 223

Step 4: Therefore, the least common multiple of 668 and 669 is 446892.