Least Common Multiple of 671 and 675

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 675 the smallest integer that is 452925 that is divisible by both numbers.

Least Common Multiple (LCM) of 671 and 675 is 452925.

LCM(671,675) = 452925

LCM of 671 and 675

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

LCM of:
and

Least Common Multiple of 671 and 675

LCM of 671 and 675 is 452925

Least common multiple can be found by multiplying the highest exponent prime factors of 671 and 675. First we will calculate the prime factors of 671 and 675.

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 675


3 675
3 225
3 75
5 25
5 5
1

Prime factors of 675 are 3,5. Prime factorization of 675 in exponential form is:

675 = 33×52

Now multiplying the highest exponent prime factors to calculate the LCM of 671 and 675.

LCM(671,675) = 33×52×111×611
LCM(671,675) = 452925

Factors of 671

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

1, 11, 61, 671

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Least Common Multiple of 671 and 675 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 675, than apply into the LCM equation.

GCF(671,675) = 1
LCM(671,675) = ( 671 × 675) / 1
LCM(671,675) = 452925 / 1
LCM(671,675) = 452925

Properties of LCM 671 and 675

(i) The LCM of 675 and 671 is associative

LCM of 671 and 675 = LCM of 675 and 671

Related Least Common Multiples of 671

Related Least Common Multiples of 675

Frequently Asked Questions on LCM of 671 and 675

1. What is the LCM of 671 and 675?

Answer: LCM of 671 and 675 is 452925.

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 675?

Answer: Factors of 675 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675. There are 12 integers that are factors of 675. The greatest factor of 675 is 675.

4. How to Find the LCM of 671 and 675?

Answer:

Least Common Multiple of 671 and 675 = 452925

Step 1: Find the prime factorization of 671

671 = 11 x 61

Step 2: Find the prime factorization of 675

675 = 3 x 3 x 3 x 5 x 5

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

LCM = 452925 = 3 x 3 x 3 x 5 x 5 x 11 x 61

Step 4: Therefore, the least common multiple of 671 and 675 is 452925.