Least Common Multiple of 75700 and 75705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 75700 and 75705 the smallest integer that is 1146173700 that is divisible by both numbers.

Least Common Multiple (LCM) of 75700 and 75705 is 1146173700.

LCM(75700,75705) = 1146173700

LCM of 75700 and 75705

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

LCM of:
and

Least Common Multiple of 75700 and 75705

LCM of 75700 and 75705 is 1146173700

Least common multiple can be found by multiplying the highest exponent prime factors of 75700 and 75705. First we will calculate the prime factors of 75700 and 75705.

Prime Factorization of 75700


2 75700
2 37850
5 18925
5 3785
757 757
1

Prime factors of 75700 are 2, 5,757. Prime factorization of 75700 in exponential form is:

75700 = 22×52×7571

Prime Factorization of 75705


3 75705
5 25235
7 5047
7 721
103 103
1

Prime factors of 75705 are 3, 5, 7,103. Prime factorization of 75705 in exponential form is:

75705 = 31×51×72×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 75700 and 75705.

LCM(75700,75705) = 22×31×52×72×1031×7571
LCM(75700,75705) = 1146173700

Factors of 75700

List of positive integer factors of 75700 that divides 75700 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 757, 1514, 3028, 3785, 7570, 15140, 18925, 37850, 75700

Factors of 75705

List of positive integer factors of 75705 that divides 75705 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 103, 105, 147, 245, 309, 515, 721, 735, 1545, 2163, 3605, 5047, 10815, 15141, 25235, 75705

Least Common Multiple of 75700 and 75705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75700 and 75705, than apply into the LCM equation.

GCF(75700,75705) = 5
LCM(75700,75705) = ( 75700 × 75705) / 5
LCM(75700,75705) = 5730868500 / 5
LCM(75700,75705) = 1146173700

Properties of LCM 75700 and 75705

(i) The LCM of 75705 and 75700 is associative

LCM of 75700 and 75705 = LCM of 75705 and 75700

Related Least Common Multiples of 75700

Related Least Common Multiples of 75705

Frequently Asked Questions on LCM of 75700 and 75705

1. What is the LCM of 75700 and 75705?

Answer: LCM of 75700 and 75705 is 1146173700.

2. What are the Factors of 75700?

Answer: Factors of 75700 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 757, 1514, 3028, 3785, 7570, 15140, 18925, 37850, 75700. There are 18 integers that are factors of 75700. The greatest factor of 75700 is 75700.

3. What are the Factors of 75705?

Answer: Factors of 75705 are 1, 3, 5, 7, 15, 21, 35, 49, 103, 105, 147, 245, 309, 515, 721, 735, 1545, 2163, 3605, 5047, 10815, 15141, 25235, 75705. There are 24 integers that are factors of 75705. The greatest factor of 75705 is 75705.

4. How to Find the LCM of 75700 and 75705?

Answer:

Least Common Multiple of 75700 and 75705 = 1146173700

Step 1: Find the prime factorization of 75700

75700 = 2 x 2 x 5 x 5 x 757

Step 2: Find the prime factorization of 75705

75705 = 3 x 5 x 7 x 7 x 103

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

LCM = 1146173700 = 2 x 2 x 3 x 5 x 5 x 7 x 7 x 103 x 757

Step 4: Therefore, the least common multiple of 75700 and 75705 is 1146173700.