Least Common Multiple of 68737 and 68740

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

• Least Common Multiple of 68737 and 68740 by Prime method
• Least Common Multiple of 68737 and 68740 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 68737 and 68740. First we will calculate the prime factors of 68737 and 68740.

Prime Factorization of 68737

Prime factors of 68737 are 68737. Prime factorization of 68737 in exponential form is:

68737 = 68737¹

Prime Factorization of 68740

Prime factors of 68740 are 2, 5, 7,491. Prime factorization of 68740 in exponential form is:

68740 = 2²×5¹×7¹×491¹

Now multiplying the highest exponent prime factors to calculate the LCM of 68737 and 68740.

LCM(68737,68740) = 2²×5¹×7¹×491¹×68737¹
LCM(68737,68740) = 4724981380

Factors of 68737

List of positive integer factors of 68737 that divides 68737 without a remainder.

1, 68737

Factors of 68740

List of positive integer factors of 68740 that divides 68740 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 491, 982, 1964, 2455, 3437, 4910, 6874, 9820, 13748, 17185, 34370, 68740

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68737 and 68740, than apply into the LCM equation.

GCF(68737,68740) = 1
LCM(68737,68740) = ( 68737 × 68740) / 1
LCM(68737,68740) = 4724981380 / 1
LCM(68737,68740) = 4724981380

(i) The LCM of 68740 and 68737 is associative

LCM of 68737 and 68740 = LCM of 68740 and 68737

1. What is the LCM of 68737 and 68740?

Answer: LCM of 68737 and 68740 is 4724981380.

2. What are the Factors of 68737?

Answer: Factors of 68737 are 1, 68737. There are 2 integers that are factors of 68737. The greatest factor of 68737 is 68737.

3. What are the Factors of 68740?

Answer: Factors of 68740 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 491, 982, 1964, 2455, 3437, 4910, 6874, 9820, 13748, 17185, 34370, 68740. There are 24 integers that are factors of 68740. The greatest factor of 68740 is 68740.

4. How to Find the LCM of 68737 and 68740?

Answer:

Least Common Multiple of 68737 and 68740 = 4724981380

Step 1: Find the prime factorization of 68737

68737 = 68737

Step 2: Find the prime factorization of 68740

68740 = 2 x 2 x 5 x 7 x 491

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

LCM = 4724981380 = 2 x 2 x 5 x 7 x 491 x 68737

Step 4: Therefore, the least common multiple of 68737 and 68740 is 4724981380.