Least Common Multiple of 6663 and 6670

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

• Least Common Multiple of 6663 and 6670 by Prime method
• Least Common Multiple of 6663 and 6670 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 6663 and 6670. First we will calculate the prime factors of 6663 and 6670.

Prime Factorization of 6663

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

6663 = 3¹×2221¹

Prime Factorization of 6670

Prime factors of 6670 are 2, 5, 23,29. Prime factorization of 6670 in exponential form is:

6670 = 2¹×5¹×23¹×29¹

Now multiplying the highest exponent prime factors to calculate the LCM of 6663 and 6670.

LCM(6663,6670) = 2¹×3¹×5¹×23¹×29¹×2221¹
LCM(6663,6670) = 44442210

Factors of 6663

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

1, 3, 2221, 6663

Factors of 6670

List of positive integer factors of 6670 that divides 6670 without a remainder.

1, 2, 5, 10, 23, 29, 46, 58, 115, 145, 230, 290, 667, 1334, 3335, 6670

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6663 and 6670, than apply into the LCM equation.

GCF(6663,6670) = 1
LCM(6663,6670) = ( 6663 × 6670) / 1
LCM(6663,6670) = 44442210 / 1
LCM(6663,6670) = 44442210

(i) The LCM of 6670 and 6663 is associative

LCM of 6663 and 6670 = LCM of 6670 and 6663

1. What is the LCM of 6663 and 6670?

Answer: LCM of 6663 and 6670 is 44442210.

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 6670?

Answer: Factors of 6670 are 1, 2, 5, 10, 23, 29, 46, 58, 115, 145, 230, 290, 667, 1334, 3335, 6670. There are 16 integers that are factors of 6670. The greatest factor of 6670 is 6670.

4. How to Find the LCM of 6663 and 6670?

Answer:

Least Common Multiple of 6663 and 6670 = 44442210

Step 1: Find the prime factorization of 6663

6663 = 3 x 2221

Step 2: Find the prime factorization of 6670

6670 = 2 x 5 x 23 x 29

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

LCM = 44442210 = 2 x 3 x 5 x 23 x 29 x 2221

Step 4: Therefore, the least common multiple of 6663 and 6670 is 44442210.