Least Common Multiple of 75685 and 75693

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

• Least Common Multiple of 75685 and 75693 by Prime method
• Least Common Multiple of 75685 and 75693 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 75685 and 75693. First we will calculate the prime factors of 75685 and 75693.

Prime Factorization of 75685

Prime factors of 75685 are 5,15137. Prime factorization of 75685 in exponential form is:

75685 = 5¹×15137¹

Prime Factorization of 75693

Prime factors of 75693 are 3, 23,1097. Prime factorization of 75693 in exponential form is:

75693 = 3¹×23¹×1097¹

Now multiplying the highest exponent prime factors to calculate the LCM of 75685 and 75693.

LCM(75685,75693) = 3¹×5¹×23¹×1097¹×15137¹
LCM(75685,75693) = 5728824705

Factors of 75685

List of positive integer factors of 75685 that divides 75685 without a remainder.

1, 5, 15137, 75685

Factors of 75693

List of positive integer factors of 75693 that divides 75693 without a remainder.

1, 3, 23, 69, 1097, 3291, 25231, 75693

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75685 and 75693, than apply into the LCM equation.

GCF(75685,75693) = 1
LCM(75685,75693) = ( 75685 × 75693) / 1
LCM(75685,75693) = 5728824705 / 1
LCM(75685,75693) = 5728824705

(i) The LCM of 75693 and 75685 is associative

LCM of 75685 and 75693 = LCM of 75693 and 75685

1. What is the LCM of 75685 and 75693?

Answer: LCM of 75685 and 75693 is 5728824705.

2. What are the Factors of 75685?

Answer: Factors of 75685 are 1, 5, 15137, 75685. There are 4 integers that are factors of 75685. The greatest factor of 75685 is 75685.

3. What are the Factors of 75693?

Answer: Factors of 75693 are 1, 3, 23, 69, 1097, 3291, 25231, 75693. There are 8 integers that are factors of 75693. The greatest factor of 75693 is 75693.

4. How to Find the LCM of 75685 and 75693?

Answer:

Least Common Multiple of 75685 and 75693 = 5728824705

Step 1: Find the prime factorization of 75685

75685 = 5 x 15137

Step 2: Find the prime factorization of 75693

75693 = 3 x 23 x 1097

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

LCM = 5728824705 = 3 x 5 x 23 x 1097 x 15137

Step 4: Therefore, the least common multiple of 75685 and 75693 is 5728824705.