Least Common Multiple of 310412 and 310420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 310412 and 310420 the smallest integer that is 24089523260 that is divisible by both numbers.

Least Common Multiple (LCM) of 310412 and 310420 is 24089523260.

LCM(310412,310420) = 24089523260

LCM of 310412 and 310420

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

LCM of:
and

Least Common Multiple of 310412 and 310420

LCM of 310412 and 310420 is 24089523260

Least common multiple can be found by multiplying the highest exponent prime factors of 310412 and 310420. First we will calculate the prime factors of 310412 and 310420.

Prime Factorization of 310412


2 310412
2 155206
71 77603
1093 1093
1

Prime factors of 310412 are 2, 71,1093. Prime factorization of 310412 in exponential form is:

310412 = 22×711×10931

Prime Factorization of 310420


2 310420
2 155210
5 77605
11 15521
17 1411
83 83
1

Prime factors of 310420 are 2, 5, 11, 17,83. Prime factorization of 310420 in exponential form is:

310420 = 22×51×111×171×831

Now multiplying the highest exponent prime factors to calculate the LCM of 310412 and 310420.

LCM(310412,310420) = 22×51×111×171×711×831×10931
LCM(310412,310420) = 24089523260

Factors of 310412

List of positive integer factors of 310412 that divides 310412 without a remainder.

1, 2, 4, 71, 142, 284, 1093, 2186, 4372, 77603, 155206, 310412

Factors of 310420

List of positive integer factors of 310420 that divides 310420 without a remainder.

1, 2, 4, 5, 10, 11, 17, 20, 22, 34, 44, 55, 68, 83, 85, 110, 166, 170, 187, 220, 332, 340, 374, 415, 748, 830, 913, 935, 1411, 1660, 1826, 1870, 2822, 3652, 3740, 4565, 5644, 7055, 9130, 14110, 15521, 18260, 28220, 31042, 62084, 77605, 155210, 310420

Least Common Multiple of 310412 and 310420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 310412 and 310420, than apply into the LCM equation.

GCF(310412,310420) = 4
LCM(310412,310420) = ( 310412 × 310420) / 4
LCM(310412,310420) = 96358093040 / 4
LCM(310412,310420) = 24089523260

Properties of LCM 310412 and 310420

(i) The LCM of 310420 and 310412 is associative

LCM of 310412 and 310420 = LCM of 310420 and 310412

Related Least Common Multiples of 310412

Related Least Common Multiples of 310420

Frequently Asked Questions on LCM of 310412 and 310420

1. What is the LCM of 310412 and 310420?

Answer: LCM of 310412 and 310420 is 24089523260.

2. What are the Factors of 310412?

Answer: Factors of 310412 are 1, 2, 4, 71, 142, 284, 1093, 2186, 4372, 77603, 155206, 310412. There are 12 integers that are factors of 310412. The greatest factor of 310412 is 310412.

3. What are the Factors of 310420?

Answer: Factors of 310420 are 1, 2, 4, 5, 10, 11, 17, 20, 22, 34, 44, 55, 68, 83, 85, 110, 166, 170, 187, 220, 332, 340, 374, 415, 748, 830, 913, 935, 1411, 1660, 1826, 1870, 2822, 3652, 3740, 4565, 5644, 7055, 9130, 14110, 15521, 18260, 28220, 31042, 62084, 77605, 155210, 310420. There are 48 integers that are factors of 310420. The greatest factor of 310420 is 310420.

4. How to Find the LCM of 310412 and 310420?

Answer:

Least Common Multiple of 310412 and 310420 = 24089523260

Step 1: Find the prime factorization of 310412

310412 = 2 x 2 x 71 x 1093

Step 2: Find the prime factorization of 310420

310420 = 2 x 2 x 5 x 11 x 17 x 83

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

LCM = 24089523260 = 2 x 2 x 5 x 11 x 17 x 71 x 83 x 1093

Step 4: Therefore, the least common multiple of 310412 and 310420 is 24089523260.