Least Common Multiple of 75686 and 75692

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 75686 and 75692 the smallest integer that is 2864412356 that is divisible by both numbers.

Least Common Multiple (LCM) of 75686 and 75692 is 2864412356.

LCM(75686,75692) = 2864412356

LCM of 75686 and 75692

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

LCM of:
and

Least Common Multiple of 75686 and 75692

LCM of 75686 and 75692 is 2864412356

Least common multiple can be found by multiplying the highest exponent prime factors of 75686 and 75692. First we will calculate the prime factors of 75686 and 75692.

Prime Factorization of 75686


2 75686
13 37843
41 2911
71 71
1

Prime factors of 75686 are 2, 13, 41,71. Prime factorization of 75686 in exponential form is:

75686 = 21×131×411×711

Prime Factorization of 75692


2 75692
2 37846
127 18923
149 149
1

Prime factors of 75692 are 2, 127,149. Prime factorization of 75692 in exponential form is:

75692 = 22×1271×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 75686 and 75692.

LCM(75686,75692) = 22×131×411×711×1271×1491
LCM(75686,75692) = 2864412356

Factors of 75686

List of positive integer factors of 75686 that divides 75686 without a remainder.

1, 2, 13, 26, 41, 71, 82, 142, 533, 923, 1066, 1846, 2911, 5822, 37843, 75686

Factors of 75692

List of positive integer factors of 75692 that divides 75692 without a remainder.

1, 2, 4, 127, 149, 254, 298, 508, 596, 18923, 37846, 75692

Least Common Multiple of 75686 and 75692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75686 and 75692, than apply into the LCM equation.

GCF(75686,75692) = 2
LCM(75686,75692) = ( 75686 × 75692) / 2
LCM(75686,75692) = 5728824712 / 2
LCM(75686,75692) = 2864412356

Properties of LCM 75686 and 75692

(i) The LCM of 75692 and 75686 is associative

LCM of 75686 and 75692 = LCM of 75692 and 75686

Related Least Common Multiples of 75686

Related Least Common Multiples of 75692

Frequently Asked Questions on LCM of 75686 and 75692

1. What is the LCM of 75686 and 75692?

Answer: LCM of 75686 and 75692 is 2864412356.

2. What are the Factors of 75686?

Answer: Factors of 75686 are 1, 2, 13, 26, 41, 71, 82, 142, 533, 923, 1066, 1846, 2911, 5822, 37843, 75686. There are 16 integers that are factors of 75686. The greatest factor of 75686 is 75686.

3. What are the Factors of 75692?

Answer: Factors of 75692 are 1, 2, 4, 127, 149, 254, 298, 508, 596, 18923, 37846, 75692. There are 12 integers that are factors of 75692. The greatest factor of 75692 is 75692.

4. How to Find the LCM of 75686 and 75692?

Answer:

Least Common Multiple of 75686 and 75692 = 2864412356

Step 1: Find the prime factorization of 75686

75686 = 2 x 13 x 41 x 71

Step 2: Find the prime factorization of 75692

75692 = 2 x 2 x 127 x 149

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

LCM = 2864412356 = 2 x 2 x 13 x 41 x 71 x 127 x 149

Step 4: Therefore, the least common multiple of 75686 and 75692 is 2864412356.