Least Common Multiple of 359 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 359 and 362 the smallest integer that is 129958 that is divisible by both numbers.

Least Common Multiple (LCM) of 359 and 362 is 129958.

LCM(359,362) = 129958

LCM of 359 and 362

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

LCM of:
and

Least Common Multiple of 359 and 362

LCM of 359 and 362 is 129958

Least common multiple can be found by multiplying the highest exponent prime factors of 359 and 362. First we will calculate the prime factors of 359 and 362.

Prime Factorization of 359


359 359
1

Prime factors of 359 are 359. Prime factorization of 359 in exponential form is:

359 = 3591

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 359 and 362.

LCM(359,362) = 21×1811×3591
LCM(359,362) = 129958

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1, 359

Factors of 362

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

1, 2, 181, 362

Least Common Multiple of 359 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 359 and 362, than apply into the LCM equation.

GCF(359,362) = 1
LCM(359,362) = ( 359 × 362) / 1
LCM(359,362) = 129958 / 1
LCM(359,362) = 129958

Properties of LCM 359 and 362

(i) The LCM of 362 and 359 is associative

LCM of 359 and 362 = LCM of 362 and 359

Related Least Common Multiples of 359

Related Least Common Multiples of 362

Frequently Asked Questions on LCM of 359 and 362

1. What is the LCM of 359 and 362?

Answer: LCM of 359 and 362 is 129958.

2. What are the Factors of 359?

Answer: Factors of 359 are 1, 359. There are 2 integers that are factors of 359. The greatest factor of 359 is 359.

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 359 and 362?

Answer:

Least Common Multiple of 359 and 362 = 129958

Step 1: Find the prime factorization of 359

359 = 359

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 = 129958 = 2 x 181 x 359

Step 4: Therefore, the least common multiple of 359 and 362 is 129958.