Least Common Multiple of 4354 and 4362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4354 and 4362 the smallest integer that is 9496074 that is divisible by both numbers.

Least Common Multiple (LCM) of 4354 and 4362 is 9496074.

LCM(4354,4362) = 9496074

LCM of 4354 and 4362

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

LCM of:
and

Least Common Multiple of 4354 and 4362

LCM of 4354 and 4362 is 9496074

Least common multiple can be found by multiplying the highest exponent prime factors of 4354 and 4362. First we will calculate the prime factors of 4354 and 4362.

Prime Factorization of 4354


2 4354
7 2177
311 311
1

Prime factors of 4354 are 2, 7,311. Prime factorization of 4354 in exponential form is:

4354 = 21×71×3111

Prime Factorization of 4362


2 4362
3 2181
727 727
1

Prime factors of 4362 are 2, 3,727. Prime factorization of 4362 in exponential form is:

4362 = 21×31×7271

Now multiplying the highest exponent prime factors to calculate the LCM of 4354 and 4362.

LCM(4354,4362) = 21×31×71×3111×7271
LCM(4354,4362) = 9496074

Factors of 4354

List of positive integer factors of 4354 that divides 4354 without a remainder.

1, 2, 7, 14, 311, 622, 2177, 4354

Factors of 4362

List of positive integer factors of 4362 that divides 4362 without a remainder.

1, 2, 3, 6, 727, 1454, 2181, 4362

Least Common Multiple of 4354 and 4362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4354 and 4362, than apply into the LCM equation.

GCF(4354,4362) = 2
LCM(4354,4362) = ( 4354 × 4362) / 2
LCM(4354,4362) = 18992148 / 2
LCM(4354,4362) = 9496074

Properties of LCM 4354 and 4362

(i) The LCM of 4362 and 4354 is associative

LCM of 4354 and 4362 = LCM of 4362 and 4354

Related Least Common Multiples of 4354

Related Least Common Multiples of 4362

Frequently Asked Questions on LCM of 4354 and 4362

1. What is the LCM of 4354 and 4362?

Answer: LCM of 4354 and 4362 is 9496074.

2. What are the Factors of 4354?

Answer: Factors of 4354 are 1, 2, 7, 14, 311, 622, 2177, 4354. There are 8 integers that are factors of 4354. The greatest factor of 4354 is 4354.

3. What are the Factors of 4362?

Answer: Factors of 4362 are 1, 2, 3, 6, 727, 1454, 2181, 4362. There are 8 integers that are factors of 4362. The greatest factor of 4362 is 4362.

4. How to Find the LCM of 4354 and 4362?

Answer:

Least Common Multiple of 4354 and 4362 = 9496074

Step 1: Find the prime factorization of 4354

4354 = 2 x 7 x 311

Step 2: Find the prime factorization of 4362

4362 = 2 x 3 x 727

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

LCM = 9496074 = 2 x 3 x 7 x 311 x 727

Step 4: Therefore, the least common multiple of 4354 and 4362 is 9496074.