Least Common Multiple of 75702 and 75707

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

• Least Common Multiple of 75702 and 75707 by Prime method
• Least Common Multiple of 75702 and 75707 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 75702 and 75707. First we will calculate the prime factors of 75702 and 75707.

Prime Factorization of 75702

Prime factors of 75702 are 2, 3, 11, 31,37. Prime factorization of 75702 in exponential form is:

75702 = 2¹×3¹×11¹×31¹×37¹

Prime Factorization of 75707

Prime factors of 75707 are 75707. Prime factorization of 75707 in exponential form is:

75707 = 75707¹

Now multiplying the highest exponent prime factors to calculate the LCM of 75702 and 75707.

LCM(75702,75707) = 2¹×3¹×11¹×31¹×37¹×75707¹
LCM(75702,75707) = 5731171314

Factors of 75702

List of positive integer factors of 75702 that divides 75702 without a remainder.

1, 2, 3, 6, 11, 22, 31, 33, 37, 62, 66, 74, 93, 111, 186, 222, 341, 407, 682, 814, 1023, 1147, 1221, 2046, 2294, 2442, 3441, 6882, 12617, 25234, 37851, 75702

Factors of 75707

List of positive integer factors of 75707 that divides 75707 without a remainder.

1, 75707

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75702 and 75707, than apply into the LCM equation.

GCF(75702,75707) = 1
LCM(75702,75707) = ( 75702 × 75707) / 1
LCM(75702,75707) = 5731171314 / 1
LCM(75702,75707) = 5731171314

(i) The LCM of 75707 and 75702 is associative

LCM of 75702 and 75707 = LCM of 75707 and 75702

1. What is the LCM of 75702 and 75707?

Answer: LCM of 75702 and 75707 is 5731171314.

2. What are the Factors of 75702?

Answer: Factors of 75702 are 1, 2, 3, 6, 11, 22, 31, 33, 37, 62, 66, 74, 93, 111, 186, 222, 341, 407, 682, 814, 1023, 1147, 1221, 2046, 2294, 2442, 3441, 6882, 12617, 25234, 37851, 75702. There are 32 integers that are factors of 75702. The greatest factor of 75702 is 75702.

3. What are the Factors of 75707?

Answer: Factors of 75707 are 1, 75707. There are 2 integers that are factors of 75707. The greatest factor of 75707 is 75707.

4. How to Find the LCM of 75702 and 75707?

Answer:

Least Common Multiple of 75702 and 75707 = 5731171314

Step 1: Find the prime factorization of 75702

75702 = 2 x 3 x 11 x 31 x 37

Step 2: Find the prime factorization of 75707

75707 = 75707

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

LCM = 5731171314 = 2 x 3 x 11 x 31 x 37 x 75707

Step 4: Therefore, the least common multiple of 75702 and 75707 is 5731171314.