Least Common Multiple of 6419 and 6426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6419 and 6426 the smallest integer that is 5892642 that is divisible by both numbers.

Least Common Multiple (LCM) of 6419 and 6426 is 5892642.

LCM(6419,6426) = 5892642

LCM of 6419 and 6426

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

LCM of:
and

Least Common Multiple of 6419 and 6426

LCM of 6419 and 6426 is 5892642

Least common multiple can be found by multiplying the highest exponent prime factors of 6419 and 6426. First we will calculate the prime factors of 6419 and 6426.

Prime Factorization of 6419


7 6419
7 917
131 131
1

Prime factors of 6419 are 7,131. Prime factorization of 6419 in exponential form is:

6419 = 72×1311

Prime Factorization of 6426


2 6426
3 3213
3 1071
3 357
7 119
17 17
1

Prime factors of 6426 are 2, 3, 7,17. Prime factorization of 6426 in exponential form is:

6426 = 21×33×71×171

Now multiplying the highest exponent prime factors to calculate the LCM of 6419 and 6426.

LCM(6419,6426) = 21×33×72×171×1311
LCM(6419,6426) = 5892642

Factors of 6419

List of positive integer factors of 6419 that divides 6419 without a remainder.

1, 7, 49, 131, 917, 6419

Factors of 6426

List of positive integer factors of 6426 that divides 6426 without a remainder.

1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 27, 34, 42, 51, 54, 63, 102, 119, 126, 153, 189, 238, 306, 357, 378, 459, 714, 918, 1071, 2142, 3213, 6426

Least Common Multiple of 6419 and 6426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6419 and 6426, than apply into the LCM equation.

GCF(6419,6426) = 7
LCM(6419,6426) = ( 6419 × 6426) / 7
LCM(6419,6426) = 41248494 / 7
LCM(6419,6426) = 5892642

Properties of LCM 6419 and 6426

(i) The LCM of 6426 and 6419 is associative

LCM of 6419 and 6426 = LCM of 6426 and 6419

Related Least Common Multiples of 6419

Related Least Common Multiples of 6426

Frequently Asked Questions on LCM of 6419 and 6426

1. What is the LCM of 6419 and 6426?

Answer: LCM of 6419 and 6426 is 5892642.

2. What are the Factors of 6419?

Answer: Factors of 6419 are 1, 7, 49, 131, 917, 6419. There are 6 integers that are factors of 6419. The greatest factor of 6419 is 6419.

3. What are the Factors of 6426?

Answer: Factors of 6426 are 1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 27, 34, 42, 51, 54, 63, 102, 119, 126, 153, 189, 238, 306, 357, 378, 459, 714, 918, 1071, 2142, 3213, 6426. There are 32 integers that are factors of 6426. The greatest factor of 6426 is 6426.

4. How to Find the LCM of 6419 and 6426?

Answer:

Least Common Multiple of 6419 and 6426 = 5892642

Step 1: Find the prime factorization of 6419

6419 = 7 x 7 x 131

Step 2: Find the prime factorization of 6426

6426 = 2 x 3 x 3 x 3 x 7 x 17

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

LCM = 5892642 = 2 x 3 x 3 x 3 x 7 x 7 x 17 x 131

Step 4: Therefore, the least common multiple of 6419 and 6426 is 5892642.