Least Common Multiple of 6063 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 6063 and 6064 the smallest integer that is 36766032 that is divisible by both numbers.

Least Common Multiple (LCM) of 6063 and 6064 is 36766032.

LCM(6063,6064) = 36766032

LCM of 6063 and 6064

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

LCM of:
and

Least Common Multiple of 6063 and 6064

LCM of 6063 and 6064 is 36766032

Least common multiple can be found by multiplying the highest exponent prime factors of 6063 and 6064. First we will calculate the prime factors of 6063 and 6064.

Prime Factorization of 6063


3 6063
43 2021
47 47
1

Prime factors of 6063 are 3, 43,47. Prime factorization of 6063 in exponential form is:

6063 = 31×431×471

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 6063 and 6064.

LCM(6063,6064) = 24×31×431×471×3791
LCM(6063,6064) = 36766032

Factors of 6063

List of positive integer factors of 6063 that divides 6063 without a remainder.

1, 3, 43, 47, 129, 141, 2021, 6063

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 6063 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 6063 and 6064, than apply into the LCM equation.

GCF(6063,6064) = 1
LCM(6063,6064) = ( 6063 × 6064) / 1
LCM(6063,6064) = 36766032 / 1
LCM(6063,6064) = 36766032

Properties of LCM 6063 and 6064

(i) The LCM of 6064 and 6063 is associative

LCM of 6063 and 6064 = LCM of 6064 and 6063

Related Least Common Multiples of 6063

Related Least Common Multiples of 6064

Frequently Asked Questions on LCM of 6063 and 6064

1. What is the LCM of 6063 and 6064?

Answer: LCM of 6063 and 6064 is 36766032.

2. What are the Factors of 6063?

Answer: Factors of 6063 are 1, 3, 43, 47, 129, 141, 2021, 6063. There are 8 integers that are factors of 6063. The greatest factor of 6063 is 6063.

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 6063 and 6064?

Answer:

Least Common Multiple of 6063 and 6064 = 36766032

Step 1: Find the prime factorization of 6063

6063 = 3 x 43 x 47

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 = 36766032 = 2 x 2 x 2 x 2 x 3 x 43 x 47 x 379

Step 4: Therefore, the least common multiple of 6063 and 6064 is 36766032.