Least Common Multiple of 6354 and 6362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6354 and 6362 the smallest integer that is 20212074 that is divisible by both numbers.

Least Common Multiple (LCM) of 6354 and 6362 is 20212074.

LCM(6354,6362) = 20212074

LCM of 6354 and 6362

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

LCM of:
and

Least Common Multiple of 6354 and 6362

LCM of 6354 and 6362 is 20212074

Least common multiple can be found by multiplying the highest exponent prime factors of 6354 and 6362. First we will calculate the prime factors of 6354 and 6362.

Prime Factorization of 6354


2 6354
3 3177
3 1059
353 353
1

Prime factors of 6354 are 2, 3,353. Prime factorization of 6354 in exponential form is:

6354 = 21×32×3531

Prime Factorization of 6362


2 6362
3181 3181
1

Prime factors of 6362 are 2,3181. Prime factorization of 6362 in exponential form is:

6362 = 21×31811

Now multiplying the highest exponent prime factors to calculate the LCM of 6354 and 6362.

LCM(6354,6362) = 21×32×3531×31811
LCM(6354,6362) = 20212074

Factors of 6354

List of positive integer factors of 6354 that divides 6354 without a remainder.

1, 2, 3, 6, 9, 18, 353, 706, 1059, 2118, 3177, 6354

Factors of 6362

List of positive integer factors of 6362 that divides 6362 without a remainder.

1, 2, 3181, 6362

Least Common Multiple of 6354 and 6362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6354 and 6362, than apply into the LCM equation.

GCF(6354,6362) = 2
LCM(6354,6362) = ( 6354 × 6362) / 2
LCM(6354,6362) = 40424148 / 2
LCM(6354,6362) = 20212074

Properties of LCM 6354 and 6362

(i) The LCM of 6362 and 6354 is associative

LCM of 6354 and 6362 = LCM of 6362 and 6354

Related Least Common Multiples of 6354

Related Least Common Multiples of 6362

Frequently Asked Questions on LCM of 6354 and 6362

1. What is the LCM of 6354 and 6362?

Answer: LCM of 6354 and 6362 is 20212074.

2. What are the Factors of 6354?

Answer: Factors of 6354 are 1, 2, 3, 6, 9, 18, 353, 706, 1059, 2118, 3177, 6354. There are 12 integers that are factors of 6354. The greatest factor of 6354 is 6354.

3. What are the Factors of 6362?

Answer: Factors of 6362 are 1, 2, 3181, 6362. There are 4 integers that are factors of 6362. The greatest factor of 6362 is 6362.

4. How to Find the LCM of 6354 and 6362?

Answer:

Least Common Multiple of 6354 and 6362 = 20212074

Step 1: Find the prime factorization of 6354

6354 = 2 x 3 x 3 x 353

Step 2: Find the prime factorization of 6362

6362 = 2 x 3181

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

LCM = 20212074 = 2 x 3 x 3 x 353 x 3181

Step 4: Therefore, the least common multiple of 6354 and 6362 is 20212074.