Least Common Multiple of 311420 and 311428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 311420 and 311428 the smallest integer that is 24246226940 that is divisible by both numbers.

Least Common Multiple (LCM) of 311420 and 311428 is 24246226940.

LCM(311420,311428) = 24246226940

LCM of 311420 and 311428

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

LCM of:
and

Least Common Multiple of 311420 and 311428

LCM of 311420 and 311428 is 24246226940

Least common multiple can be found by multiplying the highest exponent prime factors of 311420 and 311428. First we will calculate the prime factors of 311420 and 311428.

Prime Factorization of 311420


2 311420
2 155710
5 77855
23 15571
677 677
1

Prime factors of 311420 are 2, 5, 23,677. Prime factorization of 311420 in exponential form is:

311420 = 22×51×231×6771

Prime Factorization of 311428


2 311428
2 155714
13 77857
53 5989
113 113
1

Prime factors of 311428 are 2, 13, 53,113. Prime factorization of 311428 in exponential form is:

311428 = 22×131×531×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 311420 and 311428.

LCM(311420,311428) = 22×51×131×231×531×1131×6771
LCM(311420,311428) = 24246226940

Factors of 311420

List of positive integer factors of 311420 that divides 311420 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460, 677, 1354, 2708, 3385, 6770, 13540, 15571, 31142, 62284, 77855, 155710, 311420

Factors of 311428

List of positive integer factors of 311428 that divides 311428 without a remainder.

1, 2, 4, 13, 26, 52, 53, 106, 113, 212, 226, 452, 689, 1378, 1469, 2756, 2938, 5876, 5989, 11978, 23956, 77857, 155714, 311428

Least Common Multiple of 311420 and 311428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 311420 and 311428, than apply into the LCM equation.

GCF(311420,311428) = 4
LCM(311420,311428) = ( 311420 × 311428) / 4
LCM(311420,311428) = 96984907760 / 4
LCM(311420,311428) = 24246226940

Properties of LCM 311420 and 311428

(i) The LCM of 311428 and 311420 is associative

LCM of 311420 and 311428 = LCM of 311428 and 311420

Related Least Common Multiples of 311420

Related Least Common Multiples of 311428

Frequently Asked Questions on LCM of 311420 and 311428

1. What is the LCM of 311420 and 311428?

Answer: LCM of 311420 and 311428 is 24246226940.

2. What are the Factors of 311420?

Answer: Factors of 311420 are 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460, 677, 1354, 2708, 3385, 6770, 13540, 15571, 31142, 62284, 77855, 155710, 311420. There are 24 integers that are factors of 311420. The greatest factor of 311420 is 311420.

3. What are the Factors of 311428?

Answer: Factors of 311428 are 1, 2, 4, 13, 26, 52, 53, 106, 113, 212, 226, 452, 689, 1378, 1469, 2756, 2938, 5876, 5989, 11978, 23956, 77857, 155714, 311428. There are 24 integers that are factors of 311428. The greatest factor of 311428 is 311428.

4. How to Find the LCM of 311420 and 311428?

Answer:

Least Common Multiple of 311420 and 311428 = 24246226940

Step 1: Find the prime factorization of 311420

311420 = 2 x 2 x 5 x 23 x 677

Step 2: Find the prime factorization of 311428

311428 = 2 x 2 x 13 x 53 x 113

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

LCM = 24246226940 = 2 x 2 x 5 x 13 x 23 x 53 x 113 x 677

Step 4: Therefore, the least common multiple of 311420 and 311428 is 24246226940.