Least Common Multiple of 354 and 358

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 358 the smallest integer that is 63366 that is divisible by both numbers.

Least Common Multiple (LCM) of 354 and 358 is 63366.

LCM(354,358) = 63366

LCM of 354 and 358

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

LCM of:
and

Least Common Multiple of 354 and 358

LCM of 354 and 358 is 63366

Least common multiple can be found by multiplying the highest exponent prime factors of 354 and 358. First we will calculate the prime factors of 354 and 358.

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 358


2 358
179 179
1

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

358 = 21×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 354 and 358.

LCM(354,358) = 21×31×591×1791
LCM(354,358) = 63366

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 358

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

1, 2, 179, 358

Least Common Multiple of 354 and 358 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 358, than apply into the LCM equation.

GCF(354,358) = 2
LCM(354,358) = ( 354 × 358) / 2
LCM(354,358) = 126732 / 2
LCM(354,358) = 63366

Properties of LCM 354 and 358

(i) The LCM of 358 and 354 is associative

LCM of 354 and 358 = LCM of 358 and 354

Related Least Common Multiples of 354

Related Least Common Multiples of 358

Frequently Asked Questions on LCM of 354 and 358

1. What is the LCM of 354 and 358?

Answer: LCM of 354 and 358 is 63366.

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 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.

4. How to Find the LCM of 354 and 358?

Answer:

Least Common Multiple of 354 and 358 = 63366

Step 1: Find the prime factorization of 354

354 = 2 x 3 x 59

Step 2: Find the prime factorization of 358

358 = 2 x 179

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

LCM = 63366 = 2 x 3 x 59 x 179

Step 4: Therefore, the least common multiple of 354 and 358 is 63366.