Least Common Multiple of 674 and 679

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 679 the smallest integer that is 457646 that is divisible by both numbers.

Least Common Multiple (LCM) of 674 and 679 is 457646.

LCM(674,679) = 457646

LCM of 674 and 679

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

LCM of:
and

Least Common Multiple of 674 and 679

LCM of 674 and 679 is 457646

Least common multiple can be found by multiplying the highest exponent prime factors of 674 and 679. First we will calculate the prime factors of 674 and 679.

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 679


7 679
97 97
1

Prime factors of 679 are 7,97. Prime factorization of 679 in exponential form is:

679 = 71×971

Now multiplying the highest exponent prime factors to calculate the LCM of 674 and 679.

LCM(674,679) = 21×71×971×3371
LCM(674,679) = 457646

Factors of 674

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

1, 2, 337, 674

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Least Common Multiple of 674 and 679 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 679, than apply into the LCM equation.

GCF(674,679) = 1
LCM(674,679) = ( 674 × 679) / 1
LCM(674,679) = 457646 / 1
LCM(674,679) = 457646

Properties of LCM 674 and 679

(i) The LCM of 679 and 674 is associative

LCM of 674 and 679 = LCM of 679 and 674

Related Least Common Multiples of 674

Related Least Common Multiples of 679

Frequently Asked Questions on LCM of 674 and 679

1. What is the LCM of 674 and 679?

Answer: LCM of 674 and 679 is 457646.

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 679?

Answer: Factors of 679 are 1, 7, 97, 679. There are 4 integers that are factors of 679. The greatest factor of 679 is 679.

4. How to Find the LCM of 674 and 679?

Answer:

Least Common Multiple of 674 and 679 = 457646

Step 1: Find the prime factorization of 674

674 = 2 x 337

Step 2: Find the prime factorization of 679

679 = 7 x 97

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

LCM = 457646 = 2 x 7 x 97 x 337

Step 4: Therefore, the least common multiple of 674 and 679 is 457646.