Least Common Multiple of 75680 and 75685

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 75685 the smallest integer that is 1145568160 that is divisible by both numbers.

Least Common Multiple (LCM) of 75680 and 75685 is 1145568160.

LCM(75680,75685) = 1145568160

LCM of 75680 and 75685

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

LCM of:
and

Least Common Multiple of 75680 and 75685

LCM of 75680 and 75685 is 1145568160

Least common multiple can be found by multiplying the highest exponent prime factors of 75680 and 75685. First we will calculate the prime factors of 75680 and 75685.

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 75685


5 75685
15137 15137
1

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

75685 = 51×151371

Now multiplying the highest exponent prime factors to calculate the LCM of 75680 and 75685.

LCM(75680,75685) = 25×51×111×431×151371
LCM(75680,75685) = 1145568160

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 75685

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

1, 5, 15137, 75685

Least Common Multiple of 75680 and 75685 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 75685, than apply into the LCM equation.

GCF(75680,75685) = 5
LCM(75680,75685) = ( 75680 × 75685) / 5
LCM(75680,75685) = 5727840800 / 5
LCM(75680,75685) = 1145568160

Properties of LCM 75680 and 75685

(i) The LCM of 75685 and 75680 is associative

LCM of 75680 and 75685 = LCM of 75685 and 75680

Related Least Common Multiples of 75680

Related Least Common Multiples of 75685

Frequently Asked Questions on LCM of 75680 and 75685

1. What is the LCM of 75680 and 75685?

Answer: LCM of 75680 and 75685 is 1145568160.

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 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.

4. How to Find the LCM of 75680 and 75685?

Answer:

Least Common Multiple of 75680 and 75685 = 1145568160

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 75685

75685 = 5 x 15137

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

LCM = 1145568160 = 2 x 2 x 2 x 2 x 2 x 5 x 11 x 43 x 15137

Step 4: Therefore, the least common multiple of 75680 and 75685 is 1145568160.