Least Common Multiple of 6062 and 6064

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6062 and 6064 the smallest integer that is 18379984 that is divisible by both numbers.

Least Common Multiple (LCM) of 6062 and 6064 is 18379984.

LCM(6062,6064) = 18379984

LCM of 6062 and 6064

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

LCM of:
and

Least Common Multiple of 6062 and 6064

LCM of 6062 and 6064 is 18379984

Least common multiple can be found by multiplying the highest exponent prime factors of 6062 and 6064. First we will calculate the prime factors of 6062 and 6064.

Prime Factorization of 6062


2 6062
7 3031
433 433
1

Prime factors of 6062 are 2, 7,433. Prime factorization of 6062 in exponential form is:

6062 = 21×71×4331

Prime Factorization of 6064


2 6064
2 3032
2 1516
2 758
379 379
1

Prime factors of 6064 are 2,379. Prime factorization of 6064 in exponential form is:

6064 = 24×3791

Now multiplying the highest exponent prime factors to calculate the LCM of 6062 and 6064.

LCM(6062,6064) = 24×71×3791×4331
LCM(6062,6064) = 18379984

Factors of 6062

List of positive integer factors of 6062 that divides 6062 without a remainder.

1, 2, 7, 14, 433, 866, 3031, 6062

Factors of 6064

List of positive integer factors of 6064 that divides 6064 without a remainder.

1, 2, 4, 8, 16, 379, 758, 1516, 3032, 6064

Least Common Multiple of 6062 and 6064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6062 and 6064, than apply into the LCM equation.

GCF(6062,6064) = 2
LCM(6062,6064) = ( 6062 × 6064) / 2
LCM(6062,6064) = 36759968 / 2
LCM(6062,6064) = 18379984

Properties of LCM 6062 and 6064

(i) The LCM of 6064 and 6062 is associative

LCM of 6062 and 6064 = LCM of 6064 and 6062

Related Least Common Multiples of 6062

Related Least Common Multiples of 6064

Frequently Asked Questions on LCM of 6062 and 6064

1. What is the LCM of 6062 and 6064?

Answer: LCM of 6062 and 6064 is 18379984.

2. What are the Factors of 6062?

Answer: Factors of 6062 are 1, 2, 7, 14, 433, 866, 3031, 6062. There are 8 integers that are factors of 6062. The greatest factor of 6062 is 6062.

3. What are the Factors of 6064?

Answer: Factors of 6064 are 1, 2, 4, 8, 16, 379, 758, 1516, 3032, 6064. There are 10 integers that are factors of 6064. The greatest factor of 6064 is 6064.

4. How to Find the LCM of 6062 and 6064?

Answer:

Least Common Multiple of 6062 and 6064 = 18379984

Step 1: Find the prime factorization of 6062

6062 = 2 x 7 x 433

Step 2: Find the prime factorization of 6064

6064 = 2 x 2 x 2 x 2 x 379

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

LCM = 18379984 = 2 x 2 x 2 x 2 x 7 x 379 x 433

Step 4: Therefore, the least common multiple of 6062 and 6064 is 18379984.