Least Common Multiple of 358 and 362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 358 and 362 the smallest integer that is 64798 that is divisible by both numbers.

Least Common Multiple (LCM) of 358 and 362 is 64798.

LCM(358,362) = 64798

LCM of 358 and 362

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

LCM of:
and

Least Common Multiple of 358 and 362

LCM of 358 and 362 is 64798

Least common multiple can be found by multiplying the highest exponent prime factors of 358 and 362. First we will calculate the prime factors of 358 and 362.

Prime Factorization of 358


2 358
179 179
1

Prime factors of 358 are 2,179. Prime factorization of 358 in exponential form is:

358 = 21×1791

Prime Factorization of 362


2 362
181 181
1

Prime factors of 362 are 2,181. Prime factorization of 362 in exponential form is:

362 = 21×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 358 and 362.

LCM(358,362) = 21×1791×1811
LCM(358,362) = 64798

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Factors of 362

List of positive integer factors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Least Common Multiple of 358 and 362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 358 and 362, than apply into the LCM equation.

GCF(358,362) = 2
LCM(358,362) = ( 358 × 362) / 2
LCM(358,362) = 129596 / 2
LCM(358,362) = 64798

Properties of LCM 358 and 362

(i) The LCM of 362 and 358 is associative

LCM of 358 and 362 = LCM of 362 and 358

Related Least Common Multiples of 358

Related Least Common Multiples of 362

Frequently Asked Questions on LCM of 358 and 362

1. What is the LCM of 358 and 362?

Answer: LCM of 358 and 362 is 64798.

2. What are the Factors of 358?

Answer: Factors of 358 are 1, 2, 179, 358. There are 4 integers that are factors of 358. The greatest factor of 358 is 358.

3. What are the Factors of 362?

Answer: Factors of 362 are 1, 2, 181, 362. There are 4 integers that are factors of 362. The greatest factor of 362 is 362.

4. How to Find the LCM of 358 and 362?

Answer:

Least Common Multiple of 358 and 362 = 64798

Step 1: Find the prime factorization of 358

358 = 2 x 179

Step 2: Find the prime factorization of 362

362 = 2 x 181

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

LCM = 64798 = 2 x 179 x 181

Step 4: Therefore, the least common multiple of 358 and 362 is 64798.