Least Common Multiple of 6059 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 6059 and 6064 the smallest integer that is 36741776 that is divisible by both numbers.

Least Common Multiple (LCM) of 6059 and 6064 is 36741776.

LCM(6059,6064) = 36741776

LCM of 6059 and 6064

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

LCM of:
and

Least Common Multiple of 6059 and 6064

LCM of 6059 and 6064 is 36741776

Least common multiple can be found by multiplying the highest exponent prime factors of 6059 and 6064. First we will calculate the prime factors of 6059 and 6064.

Prime Factorization of 6059


73 6059
83 83
1

Prime factors of 6059 are 73,83. Prime factorization of 6059 in exponential form is:

6059 = 731×831

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 6059 and 6064.

LCM(6059,6064) = 24×731×831×3791
LCM(6059,6064) = 36741776

Factors of 6059

List of positive integer factors of 6059 that divides 6059 without a remainder.

1, 73, 83, 6059

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 6059 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 6059 and 6064, than apply into the LCM equation.

GCF(6059,6064) = 1
LCM(6059,6064) = ( 6059 × 6064) / 1
LCM(6059,6064) = 36741776 / 1
LCM(6059,6064) = 36741776

Properties of LCM 6059 and 6064

(i) The LCM of 6064 and 6059 is associative

LCM of 6059 and 6064 = LCM of 6064 and 6059

Related Least Common Multiples of 6059

Related Least Common Multiples of 6064

Frequently Asked Questions on LCM of 6059 and 6064

1. What is the LCM of 6059 and 6064?

Answer: LCM of 6059 and 6064 is 36741776.

2. What are the Factors of 6059?

Answer: Factors of 6059 are 1, 73, 83, 6059. There are 4 integers that are factors of 6059. The greatest factor of 6059 is 6059.

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 6059 and 6064?

Answer:

Least Common Multiple of 6059 and 6064 = 36741776

Step 1: Find the prime factorization of 6059

6059 = 73 x 83

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 = 36741776 = 2 x 2 x 2 x 2 x 73 x 83 x 379

Step 4: Therefore, the least common multiple of 6059 and 6064 is 36741776.