Least Common Multiple of 3058 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 3058 and 3064 the smallest integer that is 4684856 that is divisible by both numbers.

Least Common Multiple (LCM) of 3058 and 3064 is 4684856.

LCM(3058,3064) = 4684856

LCM of 3058 and 3064

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

LCM of:
and

Least Common Multiple of 3058 and 3064

LCM of 3058 and 3064 is 4684856

Least common multiple can be found by multiplying the highest exponent prime factors of 3058 and 3064. First we will calculate the prime factors of 3058 and 3064.

Prime Factorization of 3058


2 3058
11 1529
139 139
1

Prime factors of 3058 are 2, 11,139. Prime factorization of 3058 in exponential form is:

3058 = 21×111×1391

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 3058 and 3064.

LCM(3058,3064) = 23×111×1391×3831
LCM(3058,3064) = 4684856

Factors of 3058

List of positive integer factors of 3058 that divides 3058 without a remainder.

1, 2, 11, 22, 139, 278, 1529, 3058

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 3058 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 3058 and 3064, than apply into the LCM equation.

GCF(3058,3064) = 2
LCM(3058,3064) = ( 3058 × 3064) / 2
LCM(3058,3064) = 9369712 / 2
LCM(3058,3064) = 4684856

Properties of LCM 3058 and 3064

(i) The LCM of 3064 and 3058 is associative

LCM of 3058 and 3064 = LCM of 3064 and 3058

Related Least Common Multiples of 3058

Related Least Common Multiples of 3064

Frequently Asked Questions on LCM of 3058 and 3064

1. What is the LCM of 3058 and 3064?

Answer: LCM of 3058 and 3064 is 4684856.

2. What are the Factors of 3058?

Answer: Factors of 3058 are 1, 2, 11, 22, 139, 278, 1529, 3058. There are 8 integers that are factors of 3058. The greatest factor of 3058 is 3058.

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 3058 and 3064?

Answer:

Least Common Multiple of 3058 and 3064 = 4684856

Step 1: Find the prime factorization of 3058

3058 = 2 x 11 x 139

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 = 4684856 = 2 x 2 x 2 x 11 x 139 x 383

Step 4: Therefore, the least common multiple of 3058 and 3064 is 4684856.