Least Common Multiple of 671 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 671 and 676 the smallest integer that is 453596 that is divisible by both numbers.

Least Common Multiple (LCM) of 671 and 676 is 453596.

LCM(671,676) = 453596

LCM of 671 and 676

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

LCM of:
and

Least Common Multiple of 671 and 676

LCM of 671 and 676 is 453596

Least common multiple can be found by multiplying the highest exponent prime factors of 671 and 676. First we will calculate the prime factors of 671 and 676.

Prime Factorization of 671


11 671
61 61
1

Prime factors of 671 are 11,61. Prime factorization of 671 in exponential form is:

671 = 111×611

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 671 and 676.

LCM(671,676) = 22×111×132×611
LCM(671,676) = 453596

Factors of 671

List of positive integer factors of 671 that divides 671 without a remainder.

1, 11, 61, 671

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 671 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 671 and 676, than apply into the LCM equation.

GCF(671,676) = 1
LCM(671,676) = ( 671 × 676) / 1
LCM(671,676) = 453596 / 1
LCM(671,676) = 453596

Properties of LCM 671 and 676

(i) The LCM of 676 and 671 is associative

LCM of 671 and 676 = LCM of 676 and 671

Related Least Common Multiples of 671

Related Least Common Multiples of 676

Frequently Asked Questions on LCM of 671 and 676

1. What is the LCM of 671 and 676?

Answer: LCM of 671 and 676 is 453596.

2. What are the Factors of 671?

Answer: Factors of 671 are 1, 11, 61, 671. There are 4 integers that are factors of 671. The greatest factor of 671 is 671.

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 671 and 676?

Answer:

Least Common Multiple of 671 and 676 = 453596

Step 1: Find the prime factorization of 671

671 = 11 x 61

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 = 453596 = 2 x 2 x 11 x 13 x 13 x 61

Step 4: Therefore, the least common multiple of 671 and 676 is 453596.