Least Common Multiple of 354 and 359

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 354 and 359 the smallest integer that is 127086 that is divisible by both numbers.

Least Common Multiple (LCM) of 354 and 359 is 127086.

LCM(354,359) = 127086

LCM of 354 and 359

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

LCM of:
and

Least Common Multiple of 354 and 359

LCM of 354 and 359 is 127086

Least common multiple can be found by multiplying the highest exponent prime factors of 354 and 359. First we will calculate the prime factors of 354 and 359.

Prime Factorization of 354


2 354
3 177
59 59
1

Prime factors of 354 are 2, 3,59. Prime factorization of 354 in exponential form is:

354 = 21×31×591

Prime Factorization of 359


359 359
1

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

359 = 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 354 and 359.

LCM(354,359) = 21×31×591×3591
LCM(354,359) = 127086

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Factors of 359

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

1, 359

Least Common Multiple of 354 and 359 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 354 and 359, than apply into the LCM equation.

GCF(354,359) = 1
LCM(354,359) = ( 354 × 359) / 1
LCM(354,359) = 127086 / 1
LCM(354,359) = 127086

Properties of LCM 354 and 359

(i) The LCM of 359 and 354 is associative

LCM of 354 and 359 = LCM of 359 and 354

Related Least Common Multiples of 354

Related Least Common Multiples of 359

Frequently Asked Questions on LCM of 354 and 359

1. What is the LCM of 354 and 359?

Answer: LCM of 354 and 359 is 127086.

2. What are the Factors of 354?

Answer: Factors of 354 are 1, 2, 3, 6, 59, 118, 177, 354. There are 8 integers that are factors of 354. The greatest factor of 354 is 354.

3. 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.

4. How to Find the LCM of 354 and 359?

Answer:

Least Common Multiple of 354 and 359 = 127086

Step 1: Find the prime factorization of 354

354 = 2 x 3 x 59

Step 2: Find the prime factorization of 359

359 = 359

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

LCM = 127086 = 2 x 3 x 59 x 359

Step 4: Therefore, the least common multiple of 354 and 359 is 127086.