Least Common Multiple of 354 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 354 and 362 the smallest integer that is 64074 that is divisible by both numbers.

Least Common Multiple (LCM) of 354 and 362 is 64074.

LCM(354,362) = 64074

LCM of 354 and 362

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

LCM of:
and

Least Common Multiple of 354 and 362

LCM of 354 and 362 is 64074

Least common multiple can be found by multiplying the highest exponent prime factors of 354 and 362. First we will calculate the prime factors of 354 and 362.

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 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 354 and 362.

LCM(354,362) = 21×31×591×1811
LCM(354,362) = 64074

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 362

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

1, 2, 181, 362

Least Common Multiple of 354 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 354 and 362, than apply into the LCM equation.

GCF(354,362) = 2
LCM(354,362) = ( 354 × 362) / 2
LCM(354,362) = 128148 / 2
LCM(354,362) = 64074

Properties of LCM 354 and 362

(i) The LCM of 362 and 354 is associative

LCM of 354 and 362 = LCM of 362 and 354

Related Least Common Multiples of 354

Related Least Common Multiples of 362

Frequently Asked Questions on LCM of 354 and 362

1. What is the LCM of 354 and 362?

Answer: LCM of 354 and 362 is 64074.

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 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 354 and 362?

Answer:

Least Common Multiple of 354 and 362 = 64074

Step 1: Find the prime factorization of 354

354 = 2 x 3 x 59

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 = 64074 = 2 x 3 x 59 x 181

Step 4: Therefore, the least common multiple of 354 and 362 is 64074.