Least Common Multiple of 3060 and 3064

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3060 and 3064 the smallest integer that is 2343960 that is divisible by both numbers.

Least Common Multiple (LCM) of 3060 and 3064 is 2343960.

LCM(3060,3064) = 2343960

LCM of 3060 and 3064

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

LCM of:
and

Least Common Multiple of 3060 and 3064

LCM of 3060 and 3064 is 2343960

Least common multiple can be found by multiplying the highest exponent prime factors of 3060 and 3064. First we will calculate the prime factors of 3060 and 3064.

Prime Factorization of 3060


2 3060
2 1530
3 765
3 255
5 85
17 17
1

Prime factors of 3060 are 2, 3, 5,17. Prime factorization of 3060 in exponential form is:

3060 = 22×32×51×171

Prime Factorization of 3064


2 3064
2 1532
2 766
383 383
1

Prime factors of 3064 are 2,383. Prime factorization of 3064 in exponential form is:

3064 = 23×3831

Now multiplying the highest exponent prime factors to calculate the LCM of 3060 and 3064.

LCM(3060,3064) = 23×32×51×171×3831
LCM(3060,3064) = 2343960

Factors of 3060

List of positive integer factors of 3060 that divides 3060 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 30, 34, 36, 45, 51, 60, 68, 85, 90, 102, 153, 170, 180, 204, 255, 306, 340, 510, 612, 765, 1020, 1530, 3060

Factors of 3064

List of positive integer factors of 3064 that divides 3064 without a remainder.

1, 2, 4, 8, 383, 766, 1532, 3064

Least Common Multiple of 3060 and 3064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3060 and 3064, than apply into the LCM equation.

GCF(3060,3064) = 4
LCM(3060,3064) = ( 3060 × 3064) / 4
LCM(3060,3064) = 9375840 / 4
LCM(3060,3064) = 2343960

Properties of LCM 3060 and 3064

(i) The LCM of 3064 and 3060 is associative

LCM of 3060 and 3064 = LCM of 3064 and 3060

Related Least Common Multiples of 3060

Related Least Common Multiples of 3064

Frequently Asked Questions on LCM of 3060 and 3064

1. What is the LCM of 3060 and 3064?

Answer: LCM of 3060 and 3064 is 2343960.

2. What are the Factors of 3060?

Answer: Factors of 3060 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 30, 34, 36, 45, 51, 60, 68, 85, 90, 102, 153, 170, 180, 204, 255, 306, 340, 510, 612, 765, 1020, 1530, 3060. There are 36 integers that are factors of 3060. The greatest factor of 3060 is 3060.

3. What are the Factors of 3064?

Answer: Factors of 3064 are 1, 2, 4, 8, 383, 766, 1532, 3064. There are 8 integers that are factors of 3064. The greatest factor of 3064 is 3064.

4. How to Find the LCM of 3060 and 3064?

Answer:

Least Common Multiple of 3060 and 3064 = 2343960

Step 1: Find the prime factorization of 3060

3060 = 2 x 2 x 3 x 3 x 5 x 17

Step 2: Find the prime factorization of 3064

3064 = 2 x 2 x 2 x 383

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

LCM = 2343960 = 2 x 2 x 2 x 3 x 3 x 5 x 17 x 383

Step 4: Therefore, the least common multiple of 3060 and 3064 is 2343960.