Least Common Multiple of 1356 and 1362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1356 and 1362 the smallest integer that is 307812 that is divisible by both numbers.

Least Common Multiple (LCM) of 1356 and 1362 is 307812.

LCM(1356,1362) = 307812

LCM of 1356 and 1362

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

LCM of:
and

Least Common Multiple of 1356 and 1362

LCM of 1356 and 1362 is 307812

Least common multiple can be found by multiplying the highest exponent prime factors of 1356 and 1362. First we will calculate the prime factors of 1356 and 1362.

Prime Factorization of 1356


2 1356
2 678
3 339
113 113
1

Prime factors of 1356 are 2, 3,113. Prime factorization of 1356 in exponential form is:

1356 = 22×31×1131

Prime Factorization of 1362


2 1362
3 681
227 227
1

Prime factors of 1362 are 2, 3,227. Prime factorization of 1362 in exponential form is:

1362 = 21×31×2271

Now multiplying the highest exponent prime factors to calculate the LCM of 1356 and 1362.

LCM(1356,1362) = 22×31×1131×2271
LCM(1356,1362) = 307812

Factors of 1356

List of positive integer factors of 1356 that divides 1356 without a remainder.

1, 2, 3, 4, 6, 12, 113, 226, 339, 452, 678, 1356

Factors of 1362

List of positive integer factors of 1362 that divides 1362 without a remainder.

1, 2, 3, 6, 227, 454, 681, 1362

Least Common Multiple of 1356 and 1362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1356 and 1362, than apply into the LCM equation.

GCF(1356,1362) = 6
LCM(1356,1362) = ( 1356 × 1362) / 6
LCM(1356,1362) = 1846872 / 6
LCM(1356,1362) = 307812

Properties of LCM 1356 and 1362

(i) The LCM of 1362 and 1356 is associative

LCM of 1356 and 1362 = LCM of 1362 and 1356

Related Least Common Multiples of 1356

Related Least Common Multiples of 1362

Frequently Asked Questions on LCM of 1356 and 1362

1. What is the LCM of 1356 and 1362?

Answer: LCM of 1356 and 1362 is 307812.

2. What are the Factors of 1356?

Answer: Factors of 1356 are 1, 2, 3, 4, 6, 12, 113, 226, 339, 452, 678, 1356. There are 12 integers that are factors of 1356. The greatest factor of 1356 is 1356.

3. What are the Factors of 1362?

Answer: Factors of 1362 are 1, 2, 3, 6, 227, 454, 681, 1362. There are 8 integers that are factors of 1362. The greatest factor of 1362 is 1362.

4. How to Find the LCM of 1356 and 1362?

Answer:

Least Common Multiple of 1356 and 1362 = 307812

Step 1: Find the prime factorization of 1356

1356 = 2 x 2 x 3 x 113

Step 2: Find the prime factorization of 1362

1362 = 2 x 3 x 227

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

LCM = 307812 = 2 x 2 x 3 x 113 x 227

Step 4: Therefore, the least common multiple of 1356 and 1362 is 307812.