Least Common Multiple of 663 and 670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 663 and 670 the smallest integer that is 444210 that is divisible by both numbers.

Least Common Multiple (LCM) of 663 and 670 is 444210.

LCM(663,670) = 444210

LCM of 663 and 670

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

LCM of:
and

Least Common Multiple of 663 and 670

LCM of 663 and 670 is 444210

Least common multiple can be found by multiplying the highest exponent prime factors of 663 and 670. First we will calculate the prime factors of 663 and 670.

Prime Factorization of 663


3 663
13 221
17 17
1

Prime factors of 663 are 3, 13,17. Prime factorization of 663 in exponential form is:

663 = 31×131×171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 663 and 670.

LCM(663,670) = 21×31×51×131×171×671
LCM(663,670) = 444210

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Least Common Multiple of 663 and 670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 663 and 670, than apply into the LCM equation.

GCF(663,670) = 1
LCM(663,670) = ( 663 × 670) / 1
LCM(663,670) = 444210 / 1
LCM(663,670) = 444210

Properties of LCM 663 and 670

(i) The LCM of 670 and 663 is associative

LCM of 663 and 670 = LCM of 670 and 663

Related Least Common Multiples of 663

Related Least Common Multiples of 670

Frequently Asked Questions on LCM of 663 and 670

1. What is the LCM of 663 and 670?

Answer: LCM of 663 and 670 is 444210.

2. What are the Factors of 663?

Answer: Factors of 663 are 1, 3, 13, 17, 39, 51, 221, 663. There are 8 integers that are factors of 663. The greatest factor of 663 is 663.

3. 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.

4. How to Find the LCM of 663 and 670?

Answer:

Least Common Multiple of 663 and 670 = 444210

Step 1: Find the prime factorization of 663

663 = 3 x 13 x 17

Step 2: Find the prime factorization of 670

670 = 2 x 5 x 67

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

LCM = 444210 = 2 x 3 x 5 x 13 x 17 x 67

Step 4: Therefore, the least common multiple of 663 and 670 is 444210.