Least Common Multiple of 670 and 676

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 676 the smallest integer that is 226460 that is divisible by both numbers.

Least Common Multiple (LCM) of 670 and 676 is 226460.

LCM(670,676) = 226460

LCM of 670 and 676

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

LCM of:
and

Least Common Multiple of 670 and 676

LCM of 670 and 676 is 226460

Least common multiple can be found by multiplying the highest exponent prime factors of 670 and 676. First we will calculate the prime factors of 670 and 676.

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 676


2 676
2 338
13 169
13 13
1

Prime factors of 676 are 2,13. Prime factorization of 676 in exponential form is:

676 = 22×132

Now multiplying the highest exponent prime factors to calculate the LCM of 670 and 676.

LCM(670,676) = 22×51×132×671
LCM(670,676) = 226460

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 676

List of positive integer factors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Least Common Multiple of 670 and 676 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 676, than apply into the LCM equation.

GCF(670,676) = 2
LCM(670,676) = ( 670 × 676) / 2
LCM(670,676) = 452920 / 2
LCM(670,676) = 226460

Properties of LCM 670 and 676

(i) The LCM of 676 and 670 is associative

LCM of 670 and 676 = LCM of 676 and 670

Frequently Asked Questions on LCM of 670 and 676

1. What is the LCM of 670 and 676?

Answer: LCM of 670 and 676 is 226460.

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 676?

Answer: Factors of 676 are 1, 2, 4, 13, 26, 52, 169, 338, 676. There are 9 integers that are factors of 676. The greatest factor of 676 is 676.

4. How to Find the LCM of 670 and 676?

Answer:

Least Common Multiple of 670 and 676 = 226460

Step 1: Find the prime factorization of 670

670 = 2 x 5 x 67

Step 2: Find the prime factorization of 676

676 = 2 x 2 x 13 x 13

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

LCM = 226460 = 2 x 2 x 5 x 13 x 13 x 67

Step 4: Therefore, the least common multiple of 670 and 676 is 226460.