Least Common Multiple of 670 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 670 and 675 the smallest integer that is 90450 that is divisible by both numbers.

Least Common Multiple (LCM) of 670 and 675 is 90450.

LCM(670,675) = 90450

LCM of 670 and 675

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

LCM of:
and

Least Common Multiple of 670 and 675

LCM of 670 and 675 is 90450

Least common multiple can be found by multiplying the highest exponent prime factors of 670 and 675. First we will calculate the prime factors of 670 and 675.

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 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 670 and 675.

LCM(670,675) = 21×33×52×671
LCM(670,675) = 90450

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 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 670 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 670 and 675, than apply into the LCM equation.

GCF(670,675) = 5
LCM(670,675) = ( 670 × 675) / 5
LCM(670,675) = 452250 / 5
LCM(670,675) = 90450

Properties of LCM 670 and 675

(i) The LCM of 675 and 670 is associative

LCM of 670 and 675 = LCM of 675 and 670

Related Least Common Multiples of 670

Related Least Common Multiples of 675

Frequently Asked Questions on LCM of 670 and 675

1. What is the LCM of 670 and 675?

Answer: LCM of 670 and 675 is 90450.

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 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 670 and 675?

Answer:

Least Common Multiple of 670 and 675 = 90450

Step 1: Find the prime factorization of 670

670 = 2 x 5 x 67

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 = 90450 = 2 x 3 x 3 x 3 x 5 x 5 x 67

Step 4: Therefore, the least common multiple of 670 and 675 is 90450.