Least Common Multiple of 6402 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 6402 and 6408 the smallest integer that is 6837336 that is divisible by both numbers.

Least Common Multiple (LCM) of 6402 and 6408 is 6837336.

LCM(6402,6408) = 6837336

LCM of 6402 and 6408

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

LCM of:
and

Least Common Multiple of 6402 and 6408

LCM of 6402 and 6408 is 6837336

Least common multiple can be found by multiplying the highest exponent prime factors of 6402 and 6408. First we will calculate the prime factors of 6402 and 6408.

Prime Factorization of 6402


2 6402
3 3201
11 1067
97 97
1

Prime factors of 6402 are 2, 3, 11,97. Prime factorization of 6402 in exponential form is:

6402 = 21×31×111×971

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 6402 and 6408.

LCM(6402,6408) = 23×32×111×891×971
LCM(6402,6408) = 6837336

Factors of 6402

List of positive integer factors of 6402 that divides 6402 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 97, 194, 291, 582, 1067, 2134, 3201, 6402

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 6402 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 6402 and 6408, than apply into the LCM equation.

GCF(6402,6408) = 6
LCM(6402,6408) = ( 6402 × 6408) / 6
LCM(6402,6408) = 41024016 / 6
LCM(6402,6408) = 6837336

Properties of LCM 6402 and 6408

(i) The LCM of 6408 and 6402 is associative

LCM of 6402 and 6408 = LCM of 6408 and 6402

Related Least Common Multiples of 6402

Related Least Common Multiples of 6408

Frequently Asked Questions on LCM of 6402 and 6408

1. What is the LCM of 6402 and 6408?

Answer: LCM of 6402 and 6408 is 6837336.

2. What are the Factors of 6402?

Answer: Factors of 6402 are 1, 2, 3, 6, 11, 22, 33, 66, 97, 194, 291, 582, 1067, 2134, 3201, 6402. There are 16 integers that are factors of 6402. The greatest factor of 6402 is 6402.

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 6402 and 6408?

Answer:

Least Common Multiple of 6402 and 6408 = 6837336

Step 1: Find the prime factorization of 6402

6402 = 2 x 3 x 11 x 97

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 = 6837336 = 2 x 2 x 2 x 3 x 3 x 11 x 89 x 97

Step 4: Therefore, the least common multiple of 6402 and 6408 is 6837336.