Least Common Multiple of 75679 and 75680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 75679 and 75680 the smallest integer that is 5727386720 that is divisible by both numbers.

Least Common Multiple (LCM) of 75679 and 75680 is 5727386720.

LCM(75679,75680) = 5727386720

LCM of 75679 and 75680

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

LCM of:
and

Least Common Multiple of 75679 and 75680

LCM of 75679 and 75680 is 5727386720

Least common multiple can be found by multiplying the highest exponent prime factors of 75679 and 75680. First we will calculate the prime factors of 75679 and 75680.

Prime Factorization of 75679


75679 75679
1

Prime factors of 75679 are 75679. Prime factorization of 75679 in exponential form is:

75679 = 756791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 75679 and 75680.

LCM(75679,75680) = 25×51×111×431×756791
LCM(75679,75680) = 5727386720

Factors of 75679

List of positive integer factors of 75679 that divides 75679 without a remainder.

1, 75679

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

Least Common Multiple of 75679 and 75680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75679 and 75680, than apply into the LCM equation.

GCF(75679,75680) = 1
LCM(75679,75680) = ( 75679 × 75680) / 1
LCM(75679,75680) = 5727386720 / 1
LCM(75679,75680) = 5727386720

Properties of LCM 75679 and 75680

(i) The LCM of 75680 and 75679 is associative

LCM of 75679 and 75680 = LCM of 75680 and 75679

Related Least Common Multiples of 75679

Related Least Common Multiples of 75680

Frequently Asked Questions on LCM of 75679 and 75680

1. What is the LCM of 75679 and 75680?

Answer: LCM of 75679 and 75680 is 5727386720.

2. What are the Factors of 75679?

Answer: Factors of 75679 are 1, 75679. There are 2 integers that are factors of 75679. The greatest factor of 75679 is 75679.

3. 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.

4. How to Find the LCM of 75679 and 75680?

Answer:

Least Common Multiple of 75679 and 75680 = 5727386720

Step 1: Find the prime factorization of 75679

75679 = 75679

Step 2: Find the prime factorization of 75680

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

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

LCM = 5727386720 = 2 x 2 x 2 x 2 x 2 x 5 x 11 x 43 x 75679

Step 4: Therefore, the least common multiple of 75679 and 75680 is 5727386720.