Least Common Multiple of 6064 and 6070

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6064 and 6070 the smallest integer that is 18404240 that is divisible by both numbers.

Least Common Multiple (LCM) of 6064 and 6070 is 18404240.

LCM(6064,6070) = 18404240

LCM of 6064 and 6070

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

LCM of:
and

Least Common Multiple of 6064 and 6070

LCM of 6064 and 6070 is 18404240

Least common multiple can be found by multiplying the highest exponent prime factors of 6064 and 6070. First we will calculate the prime factors of 6064 and 6070.

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

Prime Factorization of 6070


2 6070
5 3035
607 607
1

Prime factors of 6070 are 2, 5,607. Prime factorization of 6070 in exponential form is:

6070 = 21×51×6071

Now multiplying the highest exponent prime factors to calculate the LCM of 6064 and 6070.

LCM(6064,6070) = 24×51×3791×6071
LCM(6064,6070) = 18404240

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

Factors of 6070

List of positive integer factors of 6070 that divides 6070 without a remainder.

1, 2, 5, 10, 607, 1214, 3035, 6070

Least Common Multiple of 6064 and 6070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6064 and 6070, than apply into the LCM equation.

GCF(6064,6070) = 2
LCM(6064,6070) = ( 6064 × 6070) / 2
LCM(6064,6070) = 36808480 / 2
LCM(6064,6070) = 18404240

Properties of LCM 6064 and 6070

(i) The LCM of 6070 and 6064 is associative

LCM of 6064 and 6070 = LCM of 6070 and 6064

Related Least Common Multiples of 6064

Related Least Common Multiples of 6070

Frequently Asked Questions on LCM of 6064 and 6070

1. What is the LCM of 6064 and 6070?

Answer: LCM of 6064 and 6070 is 18404240.

2. 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.

3. What are the Factors of 6070?

Answer: Factors of 6070 are 1, 2, 5, 10, 607, 1214, 3035, 6070. There are 8 integers that are factors of 6070. The greatest factor of 6070 is 6070.

4. How to Find the LCM of 6064 and 6070?

Answer:

Least Common Multiple of 6064 and 6070 = 18404240

Step 1: Find the prime factorization of 6064

6064 = 2 x 2 x 2 x 2 x 379

Step 2: Find the prime factorization of 6070

6070 = 2 x 5 x 607

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

LCM = 18404240 = 2 x 2 x 2 x 2 x 5 x 379 x 607

Step 4: Therefore, the least common multiple of 6064 and 6070 is 18404240.