Least Common Multiple of 15349 and 15354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15349 and 15354 the smallest integer that is 235668546 that is divisible by both numbers.

Least Common Multiple (LCM) of 15349 and 15354 is 235668546.

LCM(15349,15354) = 235668546

LCM of 15349 and 15354

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

LCM of:
and

Least Common Multiple of 15349 and 15354

LCM of 15349 and 15354 is 235668546

Least common multiple can be found by multiplying the highest exponent prime factors of 15349 and 15354. First we will calculate the prime factors of 15349 and 15354.

Prime Factorization of 15349


15349 15349
1

Prime factors of 15349 are 15349. Prime factorization of 15349 in exponential form is:

15349 = 153491

Prime Factorization of 15354


2 15354
3 7677
3 2559
853 853
1

Prime factors of 15354 are 2, 3,853. Prime factorization of 15354 in exponential form is:

15354 = 21×32×8531

Now multiplying the highest exponent prime factors to calculate the LCM of 15349 and 15354.

LCM(15349,15354) = 21×32×8531×153491
LCM(15349,15354) = 235668546

Factors of 15349

List of positive integer factors of 15349 that divides 15349 without a remainder.

1, 15349

Factors of 15354

List of positive integer factors of 15354 that divides 15354 without a remainder.

1, 2, 3, 6, 9, 18, 853, 1706, 2559, 5118, 7677, 15354

Least Common Multiple of 15349 and 15354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15349 and 15354, than apply into the LCM equation.

GCF(15349,15354) = 1
LCM(15349,15354) = ( 15349 × 15354) / 1
LCM(15349,15354) = 235668546 / 1
LCM(15349,15354) = 235668546

Properties of LCM 15349 and 15354

(i) The LCM of 15354 and 15349 is associative

LCM of 15349 and 15354 = LCM of 15354 and 15349

Related Least Common Multiples of 15349

Related Least Common Multiples of 15354

Frequently Asked Questions on LCM of 15349 and 15354

1. What is the LCM of 15349 and 15354?

Answer: LCM of 15349 and 15354 is 235668546.

2. What are the Factors of 15349?

Answer: Factors of 15349 are 1, 15349. There are 2 integers that are factors of 15349. The greatest factor of 15349 is 15349.

3. What are the Factors of 15354?

Answer: Factors of 15354 are 1, 2, 3, 6, 9, 18, 853, 1706, 2559, 5118, 7677, 15354. There are 12 integers that are factors of 15354. The greatest factor of 15354 is 15354.

4. How to Find the LCM of 15349 and 15354?

Answer:

Least Common Multiple of 15349 and 15354 = 235668546

Step 1: Find the prime factorization of 15349

15349 = 15349

Step 2: Find the prime factorization of 15354

15354 = 2 x 3 x 3 x 853

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

LCM = 235668546 = 2 x 3 x 3 x 853 x 15349

Step 4: Therefore, the least common multiple of 15349 and 15354 is 235668546.