Least Common Multiple of 6663 and 6667

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6663 and 6667 the smallest integer that is 44422221 that is divisible by both numbers.

Least Common Multiple (LCM) of 6663 and 6667 is 44422221.

LCM(6663,6667) = 44422221

LCM of 6663 and 6667

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

LCM of:
and

Least Common Multiple of 6663 and 6667

LCM of 6663 and 6667 is 44422221

Least common multiple can be found by multiplying the highest exponent prime factors of 6663 and 6667. First we will calculate the prime factors of 6663 and 6667.

Prime Factorization of 6663


3 6663
2221 2221
1

Prime factors of 6663 are 3,2221. Prime factorization of 6663 in exponential form is:

6663 = 31×22211

Prime Factorization of 6667


59 6667
113 113
1

Prime factors of 6667 are 59,113. Prime factorization of 6667 in exponential form is:

6667 = 591×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 6663 and 6667.

LCM(6663,6667) = 31×591×1131×22211
LCM(6663,6667) = 44422221

Factors of 6663

List of positive integer factors of 6663 that divides 6663 without a remainder.

1, 3, 2221, 6663

Factors of 6667

List of positive integer factors of 6667 that divides 6667 without a remainder.

1, 59, 113, 6667

Least Common Multiple of 6663 and 6667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6663 and 6667, than apply into the LCM equation.

GCF(6663,6667) = 1
LCM(6663,6667) = ( 6663 × 6667) / 1
LCM(6663,6667) = 44422221 / 1
LCM(6663,6667) = 44422221

Properties of LCM 6663 and 6667

(i) The LCM of 6667 and 6663 is associative

LCM of 6663 and 6667 = LCM of 6667 and 6663

Related Least Common Multiples of 6663

Related Least Common Multiples of 6667

Frequently Asked Questions on LCM of 6663 and 6667

1. What is the LCM of 6663 and 6667?

Answer: LCM of 6663 and 6667 is 44422221.

2. What are the Factors of 6663?

Answer: Factors of 6663 are 1, 3, 2221, 6663. There are 4 integers that are factors of 6663. The greatest factor of 6663 is 6663.

3. What are the Factors of 6667?

Answer: Factors of 6667 are 1, 59, 113, 6667. There are 4 integers that are factors of 6667. The greatest factor of 6667 is 6667.

4. How to Find the LCM of 6663 and 6667?

Answer:

Least Common Multiple of 6663 and 6667 = 44422221

Step 1: Find the prime factorization of 6663

6663 = 3 x 2221

Step 2: Find the prime factorization of 6667

6667 = 59 x 113

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

LCM = 44422221 = 3 x 59 x 113 x 2221

Step 4: Therefore, the least common multiple of 6663 and 6667 is 44422221.