Least Common Multiple of 87729 and 87737

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

• Least Common Multiple of 87729 and 87737 by Prime method
• Least Common Multiple of 87729 and 87737 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 87729 and 87737. First we will calculate the prime factors of 87729 and 87737.

Prime Factorization of 87729

Prime factors of 87729 are 3,29243. Prime factorization of 87729 in exponential form is:

87729 = 3¹×29243¹

Prime Factorization of 87737

Prime factors of 87737 are 13, 17,397. Prime factorization of 87737 in exponential form is:

87737 = 13¹×17¹×397¹

Now multiplying the highest exponent prime factors to calculate the LCM of 87729 and 87737.

LCM(87729,87737) = 3¹×13¹×17¹×397¹×29243¹
LCM(87729,87737) = 7697079273

Factors of 87729

List of positive integer factors of 87729 that divides 87729 without a remainder.

1, 3, 29243, 87729

Factors of 87737

List of positive integer factors of 87737 that divides 87737 without a remainder.

1, 13, 17, 221, 397, 5161, 6749, 87737

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87729 and 87737, than apply into the LCM equation.

GCF(87729,87737) = 1
LCM(87729,87737) = ( 87729 × 87737) / 1
LCM(87729,87737) = 7697079273 / 1
LCM(87729,87737) = 7697079273

(i) The LCM of 87737 and 87729 is associative

LCM of 87729 and 87737 = LCM of 87737 and 87729

1. What is the LCM of 87729 and 87737?

Answer: LCM of 87729 and 87737 is 7697079273.

2. What are the Factors of 87729?

Answer: Factors of 87729 are 1, 3, 29243, 87729. There are 4 integers that are factors of 87729. The greatest factor of 87729 is 87729.

3. What are the Factors of 87737?

Answer: Factors of 87737 are 1, 13, 17, 221, 397, 5161, 6749, 87737. There are 8 integers that are factors of 87737. The greatest factor of 87737 is 87737.

4. How to Find the LCM of 87729 and 87737?

Answer:

Least Common Multiple of 87729 and 87737 = 7697079273

Step 1: Find the prime factorization of 87729

87729 = 3 x 29243

Step 2: Find the prime factorization of 87737

87737 = 13 x 17 x 397

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

LCM = 7697079273 = 3 x 13 x 17 x 397 x 29243

Step 4: Therefore, the least common multiple of 87729 and 87737 is 7697079273.