Least Common Multiple of 1358 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 1358 and 1362 the smallest integer that is 924798 that is divisible by both numbers.

Least Common Multiple (LCM) of 1358 and 1362 is 924798.

LCM(1358,1362) = 924798

LCM of 1358 and 1362

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

LCM of:
and

Least Common Multiple of 1358 and 1362

LCM of 1358 and 1362 is 924798

Least common multiple can be found by multiplying the highest exponent prime factors of 1358 and 1362. First we will calculate the prime factors of 1358 and 1362.

Prime Factorization of 1358


2 1358
7 679
97 97
1

Prime factors of 1358 are 2, 7,97. Prime factorization of 1358 in exponential form is:

1358 = 21×71×971

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 1358 and 1362.

LCM(1358,1362) = 21×31×71×971×2271
LCM(1358,1362) = 924798

Factors of 1358

List of positive integer factors of 1358 that divides 1358 without a remainder.

1, 2, 7, 14, 97, 194, 679, 1358

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 1358 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 1358 and 1362, than apply into the LCM equation.

GCF(1358,1362) = 2
LCM(1358,1362) = ( 1358 × 1362) / 2
LCM(1358,1362) = 1849596 / 2
LCM(1358,1362) = 924798

Properties of LCM 1358 and 1362

(i) The LCM of 1362 and 1358 is associative

LCM of 1358 and 1362 = LCM of 1362 and 1358

Related Least Common Multiples of 1358

Related Least Common Multiples of 1362

Frequently Asked Questions on LCM of 1358 and 1362

1. What is the LCM of 1358 and 1362?

Answer: LCM of 1358 and 1362 is 924798.

2. What are the Factors of 1358?

Answer: Factors of 1358 are 1, 2, 7, 14, 97, 194, 679, 1358. There are 8 integers that are factors of 1358. The greatest factor of 1358 is 1358.

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 1358 and 1362?

Answer:

Least Common Multiple of 1358 and 1362 = 924798

Step 1: Find the prime factorization of 1358

1358 = 2 x 7 x 97

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 = 924798 = 2 x 3 x 7 x 97 x 227

Step 4: Therefore, the least common multiple of 1358 and 1362 is 924798.