Least Common Multiple of 6406 and 6408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6406 and 6408 the smallest integer that is 20524824 that is divisible by both numbers.

Least Common Multiple (LCM) of 6406 and 6408 is 20524824.

LCM(6406,6408) = 20524824

LCM of 6406 and 6408

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

LCM of:
and

Least Common Multiple of 6406 and 6408

LCM of 6406 and 6408 is 20524824

Least common multiple can be found by multiplying the highest exponent prime factors of 6406 and 6408. First we will calculate the prime factors of 6406 and 6408.

Prime Factorization of 6406


2 6406
3203 3203
1

Prime factors of 6406 are 2,3203. Prime factorization of 6406 in exponential form is:

6406 = 21×32031

Prime Factorization of 6408


2 6408
2 3204
2 1602
3 801
3 267
89 89
1

Prime factors of 6408 are 2, 3,89. Prime factorization of 6408 in exponential form is:

6408 = 23×32×891

Now multiplying the highest exponent prime factors to calculate the LCM of 6406 and 6408.

LCM(6406,6408) = 23×32×891×32031
LCM(6406,6408) = 20524824

Factors of 6406

List of positive integer factors of 6406 that divides 6406 without a remainder.

1, 2, 3203, 6406

Factors of 6408

List of positive integer factors of 6408 that divides 6408 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 89, 178, 267, 356, 534, 712, 801, 1068, 1602, 2136, 3204, 6408

Least Common Multiple of 6406 and 6408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6406 and 6408, than apply into the LCM equation.

GCF(6406,6408) = 2
LCM(6406,6408) = ( 6406 × 6408) / 2
LCM(6406,6408) = 41049648 / 2
LCM(6406,6408) = 20524824

Properties of LCM 6406 and 6408

(i) The LCM of 6408 and 6406 is associative

LCM of 6406 and 6408 = LCM of 6408 and 6406

Related Least Common Multiples of 6406

Related Least Common Multiples of 6408

Frequently Asked Questions on LCM of 6406 and 6408

1. What is the LCM of 6406 and 6408?

Answer: LCM of 6406 and 6408 is 20524824.

2. What are the Factors of 6406?

Answer: Factors of 6406 are 1, 2, 3203, 6406. There are 4 integers that are factors of 6406. The greatest factor of 6406 is 6406.

3. What are the Factors of 6408?

Answer: Factors of 6408 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 89, 178, 267, 356, 534, 712, 801, 1068, 1602, 2136, 3204, 6408. There are 24 integers that are factors of 6408. The greatest factor of 6408 is 6408.

4. How to Find the LCM of 6406 and 6408?

Answer:

Least Common Multiple of 6406 and 6408 = 20524824

Step 1: Find the prime factorization of 6406

6406 = 2 x 3203

Step 2: Find the prime factorization of 6408

6408 = 2 x 2 x 2 x 3 x 3 x 89

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

LCM = 20524824 = 2 x 2 x 2 x 3 x 3 x 89 x 3203

Step 4: Therefore, the least common multiple of 6406 and 6408 is 20524824.