Least Common Multiple of 316420 and 316426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 316420 and 316426 the smallest integer that is 50061757460 that is divisible by both numbers.

Least Common Multiple (LCM) of 316420 and 316426 is 50061757460.

LCM(316420,316426) = 50061757460

LCM of 316420 and 316426

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

LCM of:
and

Least Common Multiple of 316420 and 316426

LCM of 316420 and 316426 is 50061757460

Least common multiple can be found by multiplying the highest exponent prime factors of 316420 and 316426. First we will calculate the prime factors of 316420 and 316426.

Prime Factorization of 316420


2 316420
2 158210
5 79105
13 15821
1217 1217
1

Prime factors of 316420 are 2, 5, 13,1217. Prime factorization of 316420 in exponential form is:

316420 = 22×51×131×12171

Prime Factorization of 316426


2 316426
11 158213
19 14383
757 757
1

Prime factors of 316426 are 2, 11, 19,757. Prime factorization of 316426 in exponential form is:

316426 = 21×111×191×7571

Now multiplying the highest exponent prime factors to calculate the LCM of 316420 and 316426.

LCM(316420,316426) = 22×51×111×131×191×7571×12171
LCM(316420,316426) = 50061757460

Factors of 316420

List of positive integer factors of 316420 that divides 316420 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260, 1217, 2434, 4868, 6085, 12170, 15821, 24340, 31642, 63284, 79105, 158210, 316420

Factors of 316426

List of positive integer factors of 316426 that divides 316426 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418, 757, 1514, 8327, 14383, 16654, 28766, 158213, 316426

Least Common Multiple of 316420 and 316426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 316420 and 316426, than apply into the LCM equation.

GCF(316420,316426) = 2
LCM(316420,316426) = ( 316420 × 316426) / 2
LCM(316420,316426) = 100123514920 / 2
LCM(316420,316426) = 50061757460

Properties of LCM 316420 and 316426

(i) The LCM of 316426 and 316420 is associative

LCM of 316420 and 316426 = LCM of 316426 and 316420

Related Least Common Multiples of 316420

Related Least Common Multiples of 316426

Frequently Asked Questions on LCM of 316420 and 316426

1. What is the LCM of 316420 and 316426?

Answer: LCM of 316420 and 316426 is 50061757460.

2. What are the Factors of 316420?

Answer: Factors of 316420 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260, 1217, 2434, 4868, 6085, 12170, 15821, 24340, 31642, 63284, 79105, 158210, 316420. There are 24 integers that are factors of 316420. The greatest factor of 316420 is 316420.

3. What are the Factors of 316426?

Answer: Factors of 316426 are 1, 2, 11, 19, 22, 38, 209, 418, 757, 1514, 8327, 14383, 16654, 28766, 158213, 316426. There are 16 integers that are factors of 316426. The greatest factor of 316426 is 316426.

4. How to Find the LCM of 316420 and 316426?

Answer:

Least Common Multiple of 316420 and 316426 = 50061757460

Step 1: Find the prime factorization of 316420

316420 = 2 x 2 x 5 x 13 x 1217

Step 2: Find the prime factorization of 316426

316426 = 2 x 11 x 19 x 757

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

LCM = 50061757460 = 2 x 2 x 5 x 11 x 13 x 19 x 757 x 1217

Step 4: Therefore, the least common multiple of 316420 and 316426 is 50061757460.