Least Common Multiple of 8054 and 8062

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8054 and 8062 the smallest integer that is 32465674 that is divisible by both numbers.

Least Common Multiple (LCM) of 8054 and 8062 is 32465674.

LCM(8054,8062) = 32465674

LCM of 8054 and 8062

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

LCM of:
and

Least Common Multiple of 8054 and 8062

LCM of 8054 and 8062 is 32465674

Least common multiple can be found by multiplying the highest exponent prime factors of 8054 and 8062. First we will calculate the prime factors of 8054 and 8062.

Prime Factorization of 8054


2 8054
4027 4027
1

Prime factors of 8054 are 2,4027. Prime factorization of 8054 in exponential form is:

8054 = 21×40271

Prime Factorization of 8062


2 8062
29 4031
139 139
1

Prime factors of 8062 are 2, 29,139. Prime factorization of 8062 in exponential form is:

8062 = 21×291×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 8054 and 8062.

LCM(8054,8062) = 21×291×1391×40271
LCM(8054,8062) = 32465674

Factors of 8054

List of positive integer factors of 8054 that divides 8054 without a remainder.

1, 2, 4027, 8054

Factors of 8062

List of positive integer factors of 8062 that divides 8062 without a remainder.

1, 2, 29, 58, 139, 278, 4031, 8062

Least Common Multiple of 8054 and 8062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8054 and 8062, than apply into the LCM equation.

GCF(8054,8062) = 2
LCM(8054,8062) = ( 8054 × 8062) / 2
LCM(8054,8062) = 64931348 / 2
LCM(8054,8062) = 32465674

Properties of LCM 8054 and 8062

(i) The LCM of 8062 and 8054 is associative

LCM of 8054 and 8062 = LCM of 8062 and 8054

Related Least Common Multiples of 8054

Related Least Common Multiples of 8062

Frequently Asked Questions on LCM of 8054 and 8062

1. What is the LCM of 8054 and 8062?

Answer: LCM of 8054 and 8062 is 32465674.

2. What are the Factors of 8054?

Answer: Factors of 8054 are 1, 2, 4027, 8054. There are 4 integers that are factors of 8054. The greatest factor of 8054 is 8054.

3. What are the Factors of 8062?

Answer: Factors of 8062 are 1, 2, 29, 58, 139, 278, 4031, 8062. There are 8 integers that are factors of 8062. The greatest factor of 8062 is 8062.

4. How to Find the LCM of 8054 and 8062?

Answer:

Least Common Multiple of 8054 and 8062 = 32465674

Step 1: Find the prime factorization of 8054

8054 = 2 x 4027

Step 2: Find the prime factorization of 8062

8062 = 2 x 29 x 139

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

LCM = 32465674 = 2 x 29 x 139 x 4027

Step 4: Therefore, the least common multiple of 8054 and 8062 is 32465674.