Least Common Multiple of 674 and 682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 674 and 682 the smallest integer that is 229834 that is divisible by both numbers.

Least Common Multiple (LCM) of 674 and 682 is 229834.

LCM(674,682) = 229834

LCM of 674 and 682

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

LCM of:
and

Least Common Multiple of 674 and 682

LCM of 674 and 682 is 229834

Least common multiple can be found by multiplying the highest exponent prime factors of 674 and 682. First we will calculate the prime factors of 674 and 682.

Prime Factorization of 674


2 674
337 337
1

Prime factors of 674 are 2,337. Prime factorization of 674 in exponential form is:

674 = 21×3371

Prime Factorization of 682


2 682
11 341
31 31
1

Prime factors of 682 are 2, 11,31. Prime factorization of 682 in exponential form is:

682 = 21×111×311

Now multiplying the highest exponent prime factors to calculate the LCM of 674 and 682.

LCM(674,682) = 21×111×311×3371
LCM(674,682) = 229834

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Least Common Multiple of 674 and 682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 674 and 682, than apply into the LCM equation.

GCF(674,682) = 2
LCM(674,682) = ( 674 × 682) / 2
LCM(674,682) = 459668 / 2
LCM(674,682) = 229834

Properties of LCM 674 and 682

(i) The LCM of 682 and 674 is associative

LCM of 674 and 682 = LCM of 682 and 674

Related Least Common Multiples of 674

Related Least Common Multiples of 682

Frequently Asked Questions on LCM of 674 and 682

1. What is the LCM of 674 and 682?

Answer: LCM of 674 and 682 is 229834.

2. What are the Factors of 674?

Answer: Factors of 674 are 1, 2, 337, 674. There are 4 integers that are factors of 674. The greatest factor of 674 is 674.

3. What are the Factors of 682?

Answer: Factors of 682 are 1, 2, 11, 22, 31, 62, 341, 682. There are 8 integers that are factors of 682. The greatest factor of 682 is 682.

4. How to Find the LCM of 674 and 682?

Answer:

Least Common Multiple of 674 and 682 = 229834

Step 1: Find the prime factorization of 674

674 = 2 x 337

Step 2: Find the prime factorization of 682

682 = 2 x 11 x 31

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

LCM = 229834 = 2 x 11 x 31 x 337

Step 4: Therefore, the least common multiple of 674 and 682 is 229834.