Least Common Multiple of 670 and 673

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 670 and 673 the smallest integer that is 450910 that is divisible by both numbers.

Least Common Multiple (LCM) of 670 and 673 is 450910.

LCM(670,673) = 450910

LCM of 670 and 673

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

LCM of:
and

Least Common Multiple of 670 and 673

LCM of 670 and 673 is 450910

Least common multiple can be found by multiplying the highest exponent prime factors of 670 and 673. First we will calculate the prime factors of 670 and 673.

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

Prime Factorization of 673


673 673
1

Prime factors of 673 are 673. Prime factorization of 673 in exponential form is:

673 = 6731

Now multiplying the highest exponent prime factors to calculate the LCM of 670 and 673.

LCM(670,673) = 21×51×671×6731
LCM(670,673) = 450910

Factors of 670

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

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

Factors of 673

List of positive integer factors of 673 that divides 673 without a remainder.

1, 673

Least Common Multiple of 670 and 673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 670 and 673, than apply into the LCM equation.

GCF(670,673) = 1
LCM(670,673) = ( 670 × 673) / 1
LCM(670,673) = 450910 / 1
LCM(670,673) = 450910

Properties of LCM 670 and 673

(i) The LCM of 673 and 670 is associative

LCM of 670 and 673 = LCM of 673 and 670

Related Least Common Multiples of 670

Related Least Common Multiples of 673

Frequently Asked Questions on LCM of 670 and 673

1. What is the LCM of 670 and 673?

Answer: LCM of 670 and 673 is 450910.

2. 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.

3. What are the Factors of 673?

Answer: Factors of 673 are 1, 673. There are 2 integers that are factors of 673. The greatest factor of 673 is 673.

4. How to Find the LCM of 670 and 673?

Answer:

Least Common Multiple of 670 and 673 = 450910

Step 1: Find the prime factorization of 670

670 = 2 x 5 x 67

Step 2: Find the prime factorization of 673

673 = 673

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

LCM = 450910 = 2 x 5 x 67 x 673

Step 4: Therefore, the least common multiple of 670 and 673 is 450910.