Least Common Multiple of 75680 and 75687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 75680 and 75687 the smallest integer that is 5727992160 that is divisible by both numbers.

Least Common Multiple (LCM) of 75680 and 75687 is 5727992160.

LCM(75680,75687) = 5727992160

LCM of 75680 and 75687

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

LCM of:
and

Least Common Multiple of 75680 and 75687

LCM of 75680 and 75687 is 5727992160

Least common multiple can be found by multiplying the highest exponent prime factors of 75680 and 75687. First we will calculate the prime factors of 75680 and 75687.

Prime Factorization of 75680


2 75680
2 37840
2 18920
2 9460
2 4730
5 2365
11 473
43 43
1

Prime factors of 75680 are 2, 5, 11,43. Prime factorization of 75680 in exponential form is:

75680 = 25×51×111×431

Prime Factorization of 75687


3 75687
25229 25229
1

Prime factors of 75687 are 3,25229. Prime factorization of 75687 in exponential form is:

75687 = 31×252291

Now multiplying the highest exponent prime factors to calculate the LCM of 75680 and 75687.

LCM(75680,75687) = 25×31×51×111×431×252291
LCM(75680,75687) = 5727992160

Factors of 75680

List of positive integer factors of 75680 that divides 75680 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 43, 44, 55, 80, 86, 88, 110, 160, 172, 176, 215, 220, 344, 352, 430, 440, 473, 688, 860, 880, 946, 1376, 1720, 1760, 1892, 2365, 3440, 3784, 4730, 6880, 7568, 9460, 15136, 18920, 37840, 75680

Factors of 75687

List of positive integer factors of 75687 that divides 75687 without a remainder.

1, 3, 25229, 75687

Least Common Multiple of 75680 and 75687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75680 and 75687, than apply into the LCM equation.

GCF(75680,75687) = 1
LCM(75680,75687) = ( 75680 × 75687) / 1
LCM(75680,75687) = 5727992160 / 1
LCM(75680,75687) = 5727992160

Properties of LCM 75680 and 75687

(i) The LCM of 75687 and 75680 is associative

LCM of 75680 and 75687 = LCM of 75687 and 75680

Related Least Common Multiples of 75680

Related Least Common Multiples of 75687

Frequently Asked Questions on LCM of 75680 and 75687

1. What is the LCM of 75680 and 75687?

Answer: LCM of 75680 and 75687 is 5727992160.

2. What are the Factors of 75680?

Answer: Factors of 75680 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 43, 44, 55, 80, 86, 88, 110, 160, 172, 176, 215, 220, 344, 352, 430, 440, 473, 688, 860, 880, 946, 1376, 1720, 1760, 1892, 2365, 3440, 3784, 4730, 6880, 7568, 9460, 15136, 18920, 37840, 75680. There are 48 integers that are factors of 75680. The greatest factor of 75680 is 75680.

3. What are the Factors of 75687?

Answer: Factors of 75687 are 1, 3, 25229, 75687. There are 4 integers that are factors of 75687. The greatest factor of 75687 is 75687.

4. How to Find the LCM of 75680 and 75687?

Answer:

Least Common Multiple of 75680 and 75687 = 5727992160

Step 1: Find the prime factorization of 75680

75680 = 2 x 2 x 2 x 2 x 2 x 5 x 11 x 43

Step 2: Find the prime factorization of 75687

75687 = 3 x 25229

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

LCM = 5727992160 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 11 x 43 x 25229

Step 4: Therefore, the least common multiple of 75680 and 75687 is 5727992160.