Least Common Multiple of 311422 and 311430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 311422 and 311430 the smallest integer that is 48493076730 that is divisible by both numbers.

Least Common Multiple (LCM) of 311422 and 311430 is 48493076730.

LCM(311422,311430) = 48493076730

LCM of 311422 and 311430

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

LCM of:
and

Least Common Multiple of 311422 and 311430

LCM of 311422 and 311430 is 48493076730

Least common multiple can be found by multiplying the highest exponent prime factors of 311422 and 311430. First we will calculate the prime factors of 311422 and 311430.

Prime Factorization of 311422


2 311422
47 155711
3313 3313
1

Prime factors of 311422 are 2, 47,3313. Prime factorization of 311422 in exponential form is:

311422 = 21×471×33131

Prime Factorization of 311430


2 311430
3 155715
5 51905
7 10381
1483 1483
1

Prime factors of 311430 are 2, 3, 5, 7,1483. Prime factorization of 311430 in exponential form is:

311430 = 21×31×51×71×14831

Now multiplying the highest exponent prime factors to calculate the LCM of 311422 and 311430.

LCM(311422,311430) = 21×31×51×71×471×14831×33131
LCM(311422,311430) = 48493076730

Factors of 311422

List of positive integer factors of 311422 that divides 311422 without a remainder.

1, 2, 47, 94, 3313, 6626, 155711, 311422

Factors of 311430

List of positive integer factors of 311430 that divides 311430 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 1483, 2966, 4449, 7415, 8898, 10381, 14830, 20762, 22245, 31143, 44490, 51905, 62286, 103810, 155715, 311430

Least Common Multiple of 311422 and 311430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 311422 and 311430, than apply into the LCM equation.

GCF(311422,311430) = 2
LCM(311422,311430) = ( 311422 × 311430) / 2
LCM(311422,311430) = 96986153460 / 2
LCM(311422,311430) = 48493076730

Properties of LCM 311422 and 311430

(i) The LCM of 311430 and 311422 is associative

LCM of 311422 and 311430 = LCM of 311430 and 311422

Related Least Common Multiples of 311422

Related Least Common Multiples of 311430

Frequently Asked Questions on LCM of 311422 and 311430

1. What is the LCM of 311422 and 311430?

Answer: LCM of 311422 and 311430 is 48493076730.

2. What are the Factors of 311422?

Answer: Factors of 311422 are 1, 2, 47, 94, 3313, 6626, 155711, 311422. There are 8 integers that are factors of 311422. The greatest factor of 311422 is 311422.

3. What are the Factors of 311430?

Answer: Factors of 311430 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 1483, 2966, 4449, 7415, 8898, 10381, 14830, 20762, 22245, 31143, 44490, 51905, 62286, 103810, 155715, 311430. There are 32 integers that are factors of 311430. The greatest factor of 311430 is 311430.

4. How to Find the LCM of 311422 and 311430?

Answer:

Least Common Multiple of 311422 and 311430 = 48493076730

Step 1: Find the prime factorization of 311422

311422 = 2 x 47 x 3313

Step 2: Find the prime factorization of 311430

311430 = 2 x 3 x 5 x 7 x 1483

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

LCM = 48493076730 = 2 x 3 x 5 x 7 x 47 x 1483 x 3313

Step 4: Therefore, the least common multiple of 311422 and 311430 is 48493076730.