Least Common Multiple of 7735 and 7739

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

• Least Common Multiple of 7735 and 7739 by Prime method
• Least Common Multiple of 7735 and 7739 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 7735 and 7739. First we will calculate the prime factors of 7735 and 7739.

Prime Factorization of 7735

Prime factors of 7735 are 5, 7, 13,17. Prime factorization of 7735 in exponential form is:

7735 = 5¹×7¹×13¹×17¹

Prime Factorization of 7739

Prime factors of 7739 are 71,109. Prime factorization of 7739 in exponential form is:

7739 = 71¹×109¹

Now multiplying the highest exponent prime factors to calculate the LCM of 7735 and 7739.

LCM(7735,7739) = 5¹×7¹×13¹×17¹×71¹×109¹
LCM(7735,7739) = 59861165

Factors of 7735

List of positive integer factors of 7735 that divides 7735 without a remainder.

1, 5, 7, 13, 17, 35, 65, 85, 91, 119, 221, 455, 595, 1105, 1547, 7735

Factors of 7739

List of positive integer factors of 7739 that divides 7739 without a remainder.

1, 71, 109, 7739

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7735 and 7739, than apply into the LCM equation.

GCF(7735,7739) = 1
LCM(7735,7739) = ( 7735 × 7739) / 1
LCM(7735,7739) = 59861165 / 1
LCM(7735,7739) = 59861165

(i) The LCM of 7739 and 7735 is associative

LCM of 7735 and 7739 = LCM of 7739 and 7735

1. What is the LCM of 7735 and 7739?

Answer: LCM of 7735 and 7739 is 59861165.

2. What are the Factors of 7735?

Answer: Factors of 7735 are 1, 5, 7, 13, 17, 35, 65, 85, 91, 119, 221, 455, 595, 1105, 1547, 7735. There are 16 integers that are factors of 7735. The greatest factor of 7735 is 7735.

3. What are the Factors of 7739?

Answer: Factors of 7739 are 1, 71, 109, 7739. There are 4 integers that are factors of 7739. The greatest factor of 7739 is 7739.

4. How to Find the LCM of 7735 and 7739?

Answer:

Least Common Multiple of 7735 and 7739 = 59861165

Step 1: Find the prime factorization of 7735

7735 = 5 x 7 x 13 x 17

Step 2: Find the prime factorization of 7739

7739 = 71 x 109

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

LCM = 59861165 = 5 x 7 x 13 x 17 x 71 x 109

Step 4: Therefore, the least common multiple of 7735 and 7739 is 59861165.