Least Common Multiple of 68754 and 68759

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

• Least Common Multiple of 68754 and 68759 by Prime method
• Least Common Multiple of 68754 and 68759 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 68754 and 68759. First we will calculate the prime factors of 68754 and 68759.

Prime Factorization of 68754

Prime factors of 68754 are 2, 3, 7,1637. Prime factorization of 68754 in exponential form is:

68754 = 2¹×3¹×7¹×1637¹

Prime Factorization of 68759

Prime factors of 68759 are 29,2371. Prime factorization of 68759 in exponential form is:

68759 = 29¹×2371¹

Now multiplying the highest exponent prime factors to calculate the LCM of 68754 and 68759.

LCM(68754,68759) = 2¹×3¹×7¹×29¹×1637¹×2371¹
LCM(68754,68759) = 4727456286

Factors of 68754

List of positive integer factors of 68754 that divides 68754 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1637, 3274, 4911, 9822, 11459, 22918, 34377, 68754

Factors of 68759

List of positive integer factors of 68759 that divides 68759 without a remainder.

1, 29, 2371, 68759

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68754 and 68759, than apply into the LCM equation.

GCF(68754,68759) = 1
LCM(68754,68759) = ( 68754 × 68759) / 1
LCM(68754,68759) = 4727456286 / 1
LCM(68754,68759) = 4727456286

(i) The LCM of 68759 and 68754 is associative

LCM of 68754 and 68759 = LCM of 68759 and 68754

1. What is the LCM of 68754 and 68759?

Answer: LCM of 68754 and 68759 is 4727456286.

2. What are the Factors of 68754?

Answer: Factors of 68754 are 1, 2, 3, 6, 7, 14, 21, 42, 1637, 3274, 4911, 9822, 11459, 22918, 34377, 68754. There are 16 integers that are factors of 68754. The greatest factor of 68754 is 68754.

3. What are the Factors of 68759?

Answer: Factors of 68759 are 1, 29, 2371, 68759. There are 4 integers that are factors of 68759. The greatest factor of 68759 is 68759.

4. How to Find the LCM of 68754 and 68759?

Answer:

Least Common Multiple of 68754 and 68759 = 4727456286

Step 1: Find the prime factorization of 68754

68754 = 2 x 3 x 7 x 1637

Step 2: Find the prime factorization of 68759

68759 = 29 x 2371

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

LCM = 4727456286 = 2 x 3 x 7 x 29 x 1637 x 2371

Step 4: Therefore, the least common multiple of 68754 and 68759 is 4727456286.