Least Common Multiple of 31419 and 31426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 31419 and 31426 the smallest integer that is 987373494 that is divisible by both numbers.

Least Common Multiple (LCM) of 31419 and 31426 is 987373494.

LCM(31419,31426) = 987373494

LCM of 31419 and 31426

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

LCM of:
and

Least Common Multiple of 31419 and 31426

LCM of 31419 and 31426 is 987373494

Least common multiple can be found by multiplying the highest exponent prime factors of 31419 and 31426. First we will calculate the prime factors of 31419 and 31426.

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

Prime Factorization of 31426


2 31426
19 15713
827 827
1

Prime factors of 31426 are 2, 19,827. Prime factorization of 31426 in exponential form is:

31426 = 21×191×8271

Now multiplying the highest exponent prime factors to calculate the LCM of 31419 and 31426.

LCM(31419,31426) = 21×32×191×8271×34911
LCM(31419,31426) = 987373494

Factors of 31419

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

1, 3, 9, 3491, 10473, 31419

Factors of 31426

List of positive integer factors of 31426 that divides 31426 without a remainder.

1, 2, 19, 38, 827, 1654, 15713, 31426

Least Common Multiple of 31419 and 31426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31419 and 31426, than apply into the LCM equation.

GCF(31419,31426) = 1
LCM(31419,31426) = ( 31419 × 31426) / 1
LCM(31419,31426) = 987373494 / 1
LCM(31419,31426) = 987373494

Properties of LCM 31419 and 31426

(i) The LCM of 31426 and 31419 is associative

LCM of 31419 and 31426 = LCM of 31426 and 31419

Related Least Common Multiples of 31419

Related Least Common Multiples of 31426

Frequently Asked Questions on LCM of 31419 and 31426

1. What is the LCM of 31419 and 31426?

Answer: LCM of 31419 and 31426 is 987373494.

2. 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.

3. What are the Factors of 31426?

Answer: Factors of 31426 are 1, 2, 19, 38, 827, 1654, 15713, 31426. There are 8 integers that are factors of 31426. The greatest factor of 31426 is 31426.

4. How to Find the LCM of 31419 and 31426?

Answer:

Least Common Multiple of 31419 and 31426 = 987373494

Step 1: Find the prime factorization of 31419

31419 = 3 x 3 x 3491

Step 2: Find the prime factorization of 31426

31426 = 2 x 19 x 827

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

LCM = 987373494 = 2 x 3 x 3 x 19 x 827 x 3491

Step 4: Therefore, the least common multiple of 31419 and 31426 is 987373494.