Least Common Multiple of 311430 and 311438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 311430 and 311438 the smallest integer that is 48495568170 that is divisible by both numbers.

Least Common Multiple (LCM) of 311430 and 311438 is 48495568170.

LCM(311430,311438) = 48495568170

LCM of 311430 and 311438

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

LCM of:
and

Least Common Multiple of 311430 and 311438

LCM of 311430 and 311438 is 48495568170

Least common multiple can be found by multiplying the highest exponent prime factors of 311430 and 311438. First we will calculate the prime factors of 311430 and 311438.

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

Prime Factorization of 311438


2 311438
155719 155719
1

Prime factors of 311438 are 2,155719. Prime factorization of 311438 in exponential form is:

311438 = 21×1557191

Now multiplying the highest exponent prime factors to calculate the LCM of 311430 and 311438.

LCM(311430,311438) = 21×31×51×71×14831×1557191
LCM(311430,311438) = 48495568170

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

Factors of 311438

List of positive integer factors of 311438 that divides 311438 without a remainder.

1, 2, 155719, 311438

Least Common Multiple of 311430 and 311438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 311430 and 311438, than apply into the LCM equation.

GCF(311430,311438) = 2
LCM(311430,311438) = ( 311430 × 311438) / 2
LCM(311430,311438) = 96991136340 / 2
LCM(311430,311438) = 48495568170

Properties of LCM 311430 and 311438

(i) The LCM of 311438 and 311430 is associative

LCM of 311430 and 311438 = LCM of 311438 and 311430

Related Least Common Multiples of 311430

Related Least Common Multiples of 311438

Frequently Asked Questions on LCM of 311430 and 311438

1. What is the LCM of 311430 and 311438?

Answer: LCM of 311430 and 311438 is 48495568170.

2. 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.

3. What are the Factors of 311438?

Answer: Factors of 311438 are 1, 2, 155719, 311438. There are 4 integers that are factors of 311438. The greatest factor of 311438 is 311438.

4. How to Find the LCM of 311430 and 311438?

Answer:

Least Common Multiple of 311430 and 311438 = 48495568170

Step 1: Find the prime factorization of 311430

311430 = 2 x 3 x 5 x 7 x 1483

Step 2: Find the prime factorization of 311438

311438 = 2 x 155719

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

LCM = 48495568170 = 2 x 3 x 5 x 7 x 1483 x 155719

Step 4: Therefore, the least common multiple of 311430 and 311438 is 48495568170.