Least Common Multiple of 669 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 669 and 670 the smallest integer that is 448230 that is divisible by both numbers.

Least Common Multiple (LCM) of 669 and 670 is 448230.

LCM(669,670) = 448230

LCM of 669 and 670

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

LCM of:
and

Least Common Multiple of 669 and 670

LCM of 669 and 670 is 448230

Least common multiple can be found by multiplying the highest exponent prime factors of 669 and 670. First we will calculate the prime factors of 669 and 670.

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 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 669 and 670.

LCM(669,670) = 21×31×51×671×2231
LCM(669,670) = 448230

Factors of 669

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

1, 3, 223, 669

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 669 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 669 and 670, than apply into the LCM equation.

GCF(669,670) = 1
LCM(669,670) = ( 669 × 670) / 1
LCM(669,670) = 448230 / 1
LCM(669,670) = 448230

Properties of LCM 669 and 670

(i) The LCM of 670 and 669 is associative

LCM of 669 and 670 = LCM of 670 and 669

Related Least Common Multiples of 669

Related Least Common Multiples of 670

Frequently Asked Questions on LCM of 669 and 670

1. What is the LCM of 669 and 670?

Answer: LCM of 669 and 670 is 448230.

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 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 669 and 670?

Answer:

Least Common Multiple of 669 and 670 = 448230

Step 1: Find the prime factorization of 669

669 = 3 x 223

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 = 448230 = 2 x 3 x 5 x 67 x 223

Step 4: Therefore, the least common multiple of 669 and 670 is 448230.