Least Common Multiple of 31409 and 31412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 31409 and 31412 the smallest integer that is 986619508 that is divisible by both numbers.

Least Common Multiple (LCM) of 31409 and 31412 is 986619508.

LCM(31409,31412) = 986619508

LCM of 31409 and 31412

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

LCM of:
and

Least Common Multiple of 31409 and 31412

LCM of 31409 and 31412 is 986619508

Least common multiple can be found by multiplying the highest exponent prime factors of 31409 and 31412. First we will calculate the prime factors of 31409 and 31412.

Prime Factorization of 31409


7 31409
7 4487
641 641
1

Prime factors of 31409 are 7,641. Prime factorization of 31409 in exponential form is:

31409 = 72×6411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 31409 and 31412.

LCM(31409,31412) = 22×72×6411×78531
LCM(31409,31412) = 986619508

Factors of 31409

List of positive integer factors of 31409 that divides 31409 without a remainder.

1, 7, 49, 641, 4487, 31409

Factors of 31412

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

1, 2, 4, 7853, 15706, 31412

Least Common Multiple of 31409 and 31412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31409 and 31412, than apply into the LCM equation.

GCF(31409,31412) = 1
LCM(31409,31412) = ( 31409 × 31412) / 1
LCM(31409,31412) = 986619508 / 1
LCM(31409,31412) = 986619508

Properties of LCM 31409 and 31412

(i) The LCM of 31412 and 31409 is associative

LCM of 31409 and 31412 = LCM of 31412 and 31409

Related Least Common Multiples of 31409

Related Least Common Multiples of 31412

Frequently Asked Questions on LCM of 31409 and 31412

1. What is the LCM of 31409 and 31412?

Answer: LCM of 31409 and 31412 is 986619508.

2. What are the Factors of 31409?

Answer: Factors of 31409 are 1, 7, 49, 641, 4487, 31409. There are 6 integers that are factors of 31409. The greatest factor of 31409 is 31409.

3. 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.

4. How to Find the LCM of 31409 and 31412?

Answer:

Least Common Multiple of 31409 and 31412 = 986619508

Step 1: Find the prime factorization of 31409

31409 = 7 x 7 x 641

Step 2: Find the prime factorization of 31412

31412 = 2 x 2 x 7853

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

LCM = 986619508 = 2 x 2 x 7 x 7 x 641 x 7853

Step 4: Therefore, the least common multiple of 31409 and 31412 is 986619508.