Least Common Multiple of 63707 and 63711

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

• Least Common Multiple of 63707 and 63711 by Prime method
• Least Common Multiple of 63707 and 63711 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 63707 and 63711. First we will calculate the prime factors of 63707 and 63711.

Prime Factorization of 63707

Prime factors of 63707 are 7, 19,479. Prime factorization of 63707 in exponential form is:

63707 = 7¹×19¹×479¹

Prime Factorization of 63711

Prime factors of 63711 are 3,7079. Prime factorization of 63711 in exponential form is:

63711 = 3²×7079¹

Now multiplying the highest exponent prime factors to calculate the LCM of 63707 and 63711.

LCM(63707,63711) = 3²×7¹×19¹×479¹×7079¹
LCM(63707,63711) = 4058836677

Factors of 63707

List of positive integer factors of 63707 that divides 63707 without a remainder.

1, 7, 19, 133, 479, 3353, 9101, 63707

Factors of 63711

List of positive integer factors of 63711 that divides 63711 without a remainder.

1, 3, 9, 7079, 21237, 63711

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63707 and 63711, than apply into the LCM equation.

GCF(63707,63711) = 1
LCM(63707,63711) = ( 63707 × 63711) / 1
LCM(63707,63711) = 4058836677 / 1
LCM(63707,63711) = 4058836677

(i) The LCM of 63711 and 63707 is associative

LCM of 63707 and 63711 = LCM of 63711 and 63707

1. What is the LCM of 63707 and 63711?

Answer: LCM of 63707 and 63711 is 4058836677.

2. What are the Factors of 63707?

Answer: Factors of 63707 are 1, 7, 19, 133, 479, 3353, 9101, 63707. There are 8 integers that are factors of 63707. The greatest factor of 63707 is 63707.

3. What are the Factors of 63711?

Answer: Factors of 63711 are 1, 3, 9, 7079, 21237, 63711. There are 6 integers that are factors of 63711. The greatest factor of 63711 is 63711.

4. How to Find the LCM of 63707 and 63711?

Answer:

Least Common Multiple of 63707 and 63711 = 4058836677

Step 1: Find the prime factorization of 63707

63707 = 7 x 19 x 479

Step 2: Find the prime factorization of 63711

63711 = 3 x 3 x 7079

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

LCM = 4058836677 = 3 x 3 x 7 x 19 x 479 x 7079

Step 4: Therefore, the least common multiple of 63707 and 63711 is 4058836677.