Least Common Multiple of 667 and 670

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 670 the smallest integer that is 446890 that is divisible by both numbers.

Least Common Multiple (LCM) of 667 and 670 is 446890.

LCM(667,670) = 446890

LCM of 667 and 670

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

LCM of:
and

Least Common Multiple of 667 and 670

LCM of 667 and 670 is 446890

Least common multiple can be found by multiplying the highest exponent prime factors of 667 and 670. First we will calculate the prime factors of 667 and 670.

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 670


2 670
5 335
67 67
1

Prime factors of 670 are 2, 5,67. Prime factorization of 670 in exponential form is:

670 = 21×51×671

Now multiplying the highest exponent prime factors to calculate the LCM of 667 and 670.

LCM(667,670) = 21×51×231×291×671
LCM(667,670) = 446890

Factors of 667

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

1, 23, 29, 667

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Least Common Multiple of 667 and 670 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 670, than apply into the LCM equation.

GCF(667,670) = 1
LCM(667,670) = ( 667 × 670) / 1
LCM(667,670) = 446890 / 1
LCM(667,670) = 446890

Properties of LCM 667 and 670

(i) The LCM of 670 and 667 is associative

LCM of 667 and 670 = LCM of 670 and 667

Related Least Common Multiples of 667

Related Least Common Multiples of 670

Frequently Asked Questions on LCM of 667 and 670

1. What is the LCM of 667 and 670?

Answer: LCM of 667 and 670 is 446890.

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 670?

Answer: Factors of 670 are 1, 2, 5, 10, 67, 134, 335, 670. There are 8 integers that are factors of 670. The greatest factor of 670 is 670.

4. How to Find the LCM of 667 and 670?

Answer:

Least Common Multiple of 667 and 670 = 446890

Step 1: Find the prime factorization of 667

667 = 23 x 29

Step 2: Find the prime factorization of 670

670 = 2 x 5 x 67

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

LCM = 446890 = 2 x 5 x 23 x 29 x 67

Step 4: Therefore, the least common multiple of 667 and 670 is 446890.