Least Common Multiple of 31412 and 31419

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 31412 and 31419 the smallest integer that is 986933628 that is divisible by both numbers.

Least Common Multiple (LCM) of 31412 and 31419 is 986933628.

LCM(31412,31419) = 986933628

LCM of 31412 and 31419

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

LCM of:
and

Least Common Multiple of 31412 and 31419

LCM of 31412 and 31419 is 986933628

Least common multiple can be found by multiplying the highest exponent prime factors of 31412 and 31419. First we will calculate the prime factors of 31412 and 31419.

Prime Factorization of 31412


2 31412
2 15706
7853 7853
1

Prime factors of 31412 are 2,7853. Prime factorization of 31412 in exponential form is:

31412 = 22×78531

Prime Factorization of 31419


3 31419
3 10473
3491 3491
1

Prime factors of 31419 are 3,3491. Prime factorization of 31419 in exponential form is:

31419 = 32×34911

Now multiplying the highest exponent prime factors to calculate the LCM of 31412 and 31419.

LCM(31412,31419) = 22×32×34911×78531
LCM(31412,31419) = 986933628

Factors of 31412

List of positive integer factors of 31412 that divides 31412 without a remainder.

1, 2, 4, 7853, 15706, 31412

Factors of 31419

List of positive integer factors of 31419 that divides 31419 without a remainder.

1, 3, 9, 3491, 10473, 31419

Least Common Multiple of 31412 and 31419 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31412 and 31419, than apply into the LCM equation.

GCF(31412,31419) = 1
LCM(31412,31419) = ( 31412 × 31419) / 1
LCM(31412,31419) = 986933628 / 1
LCM(31412,31419) = 986933628

Properties of LCM 31412 and 31419

(i) The LCM of 31419 and 31412 is associative

LCM of 31412 and 31419 = LCM of 31419 and 31412

Related Least Common Multiples of 31412

Related Least Common Multiples of 31419

Frequently Asked Questions on LCM of 31412 and 31419

1. What is the LCM of 31412 and 31419?

Answer: LCM of 31412 and 31419 is 986933628.

2. What are the Factors of 31412?

Answer: Factors of 31412 are 1, 2, 4, 7853, 15706, 31412. There are 6 integers that are factors of 31412. The greatest factor of 31412 is 31412.

3. What are the Factors of 31419?

Answer: Factors of 31419 are 1, 3, 9, 3491, 10473, 31419. There are 6 integers that are factors of 31419. The greatest factor of 31419 is 31419.

4. How to Find the LCM of 31412 and 31419?

Answer:

Least Common Multiple of 31412 and 31419 = 986933628

Step 1: Find the prime factorization of 31412

31412 = 2 x 2 x 7853

Step 2: Find the prime factorization of 31419

31419 = 3 x 3 x 3491

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

LCM = 986933628 = 2 x 2 x 3 x 3 x 3491 x 7853

Step 4: Therefore, the least common multiple of 31412 and 31419 is 986933628.