Least Common Multiple of 310420 and 310426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 310420 and 310426 the smallest integer that is 48181219460 that is divisible by both numbers.

Least Common Multiple (LCM) of 310420 and 310426 is 48181219460.

LCM(310420,310426) = 48181219460

LCM of 310420 and 310426

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

LCM of:
and

Least Common Multiple of 310420 and 310426

LCM of 310420 and 310426 is 48181219460

Least common multiple can be found by multiplying the highest exponent prime factors of 310420 and 310426. First we will calculate the prime factors of 310420 and 310426.

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

Prime Factorization of 310426


2 310426
269 155213
577 577
1

Prime factors of 310426 are 2, 269,577. Prime factorization of 310426 in exponential form is:

310426 = 21×2691×5771

Now multiplying the highest exponent prime factors to calculate the LCM of 310420 and 310426.

LCM(310420,310426) = 22×51×111×171×831×2691×5771
LCM(310420,310426) = 48181219460

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

Factors of 310426

List of positive integer factors of 310426 that divides 310426 without a remainder.

1, 2, 269, 538, 577, 1154, 155213, 310426

Least Common Multiple of 310420 and 310426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 310420 and 310426, than apply into the LCM equation.

GCF(310420,310426) = 2
LCM(310420,310426) = ( 310420 × 310426) / 2
LCM(310420,310426) = 96362438920 / 2
LCM(310420,310426) = 48181219460

Properties of LCM 310420 and 310426

(i) The LCM of 310426 and 310420 is associative

LCM of 310420 and 310426 = LCM of 310426 and 310420

Related Least Common Multiples of 310420

Related Least Common Multiples of 310426

Frequently Asked Questions on LCM of 310420 and 310426

1. What is the LCM of 310420 and 310426?

Answer: LCM of 310420 and 310426 is 48181219460.

2. 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.

3. What are the Factors of 310426?

Answer: Factors of 310426 are 1, 2, 269, 538, 577, 1154, 155213, 310426. There are 8 integers that are factors of 310426. The greatest factor of 310426 is 310426.

4. How to Find the LCM of 310420 and 310426?

Answer:

Least Common Multiple of 310420 and 310426 = 48181219460

Step 1: Find the prime factorization of 310420

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

Step 2: Find the prime factorization of 310426

310426 = 2 x 269 x 577

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

LCM = 48181219460 = 2 x 2 x 5 x 11 x 17 x 83 x 269 x 577

Step 4: Therefore, the least common multiple of 310420 and 310426 is 48181219460.