Least Common Multiple of 311414 and 311422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 311414 and 311422 the smallest integer that is 48490585354 that is divisible by both numbers.

Least Common Multiple (LCM) of 311414 and 311422 is 48490585354.

LCM(311414,311422) = 48490585354

LCM of 311414 and 311422

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

LCM of:
and

Least Common Multiple of 311414 and 311422

LCM of 311414 and 311422 is 48490585354

Least common multiple can be found by multiplying the highest exponent prime factors of 311414 and 311422. First we will calculate the prime factors of 311414 and 311422.

Prime Factorization of 311414


2 311414
155707 155707
1

Prime factors of 311414 are 2,155707. Prime factorization of 311414 in exponential form is:

311414 = 21×1557071

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

Now multiplying the highest exponent prime factors to calculate the LCM of 311414 and 311422.

LCM(311414,311422) = 21×471×33131×1557071
LCM(311414,311422) = 48490585354

Factors of 311414

List of positive integer factors of 311414 that divides 311414 without a remainder.

1, 2, 155707, 311414

Factors of 311422

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

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

Least Common Multiple of 311414 and 311422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 311414 and 311422, than apply into the LCM equation.

GCF(311414,311422) = 2
LCM(311414,311422) = ( 311414 × 311422) / 2
LCM(311414,311422) = 96981170708 / 2
LCM(311414,311422) = 48490585354

Properties of LCM 311414 and 311422

(i) The LCM of 311422 and 311414 is associative

LCM of 311414 and 311422 = LCM of 311422 and 311414

Related Least Common Multiples of 311414

Related Least Common Multiples of 311422

Frequently Asked Questions on LCM of 311414 and 311422

1. What is the LCM of 311414 and 311422?

Answer: LCM of 311414 and 311422 is 48490585354.

2. What are the Factors of 311414?

Answer: Factors of 311414 are 1, 2, 155707, 311414. There are 4 integers that are factors of 311414. The greatest factor of 311414 is 311414.

3. 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.

4. How to Find the LCM of 311414 and 311422?

Answer:

Least Common Multiple of 311414 and 311422 = 48490585354

Step 1: Find the prime factorization of 311414

311414 = 2 x 155707

Step 2: Find the prime factorization of 311422

311422 = 2 x 47 x 3313

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

LCM = 48490585354 = 2 x 47 x 3313 x 155707

Step 4: Therefore, the least common multiple of 311414 and 311422 is 48490585354.