Least Common Multiple of 667 and 668

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 667 and 668 the smallest integer that is 445556 that is divisible by both numbers.

Least Common Multiple (LCM) of 667 and 668 is 445556.

LCM(667,668) = 445556

LCM of 667 and 668

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

LCM of:
and

Least Common Multiple of 667 and 668

LCM of 667 and 668 is 445556

Least common multiple can be found by multiplying the highest exponent prime factors of 667 and 668. First we will calculate the prime factors of 667 and 668.

Prime Factorization of 667


23 667
29 29
1

Prime factors of 667 are 23,29. Prime factorization of 667 in exponential form is:

667 = 231×291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 667 and 668.

LCM(667,668) = 22×231×291×1671
LCM(667,668) = 445556

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Factors of 668

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

1, 2, 4, 167, 334, 668

Least Common Multiple of 667 and 668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 667 and 668, than apply into the LCM equation.

GCF(667,668) = 1
LCM(667,668) = ( 667 × 668) / 1
LCM(667,668) = 445556 / 1
LCM(667,668) = 445556

Properties of LCM 667 and 668

(i) The LCM of 668 and 667 is associative

LCM of 667 and 668 = LCM of 668 and 667

Related Least Common Multiples of 667

Related Least Common Multiples of 668

Frequently Asked Questions on LCM of 667 and 668

1. What is the LCM of 667 and 668?

Answer: LCM of 667 and 668 is 445556.

2. What are the Factors of 667?

Answer: Factors of 667 are 1, 23, 29, 667. There are 4 integers that are factors of 667. The greatest factor of 667 is 667.

3. 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.

4. How to Find the LCM of 667 and 668?

Answer:

Least Common Multiple of 667 and 668 = 445556

Step 1: Find the prime factorization of 667

667 = 23 x 29

Step 2: Find the prime factorization of 668

668 = 2 x 2 x 167

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

LCM = 445556 = 2 x 2 x 23 x 29 x 167

Step 4: Therefore, the least common multiple of 667 and 668 is 445556.