Least Common Multiple of 17240 and 17246

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 17240 and 17246 the smallest integer that is 148660520 that is divisible by both numbers.

Least Common Multiple (LCM) of 17240 and 17246 is 148660520.

LCM(17240,17246) = 148660520

LCM of 17240 and 17246

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

LCM of:
and

Least Common Multiple of 17240 and 17246

LCM of 17240 and 17246 is 148660520

Least common multiple can be found by multiplying the highest exponent prime factors of 17240 and 17246. First we will calculate the prime factors of 17240 and 17246.

Prime Factorization of 17240


2 17240
2 8620
2 4310
5 2155
431 431
1

Prime factors of 17240 are 2, 5,431. Prime factorization of 17240 in exponential form is:

17240 = 23×51×4311

Prime Factorization of 17246


2 17246
8623 8623
1

Prime factors of 17246 are 2,8623. Prime factorization of 17246 in exponential form is:

17246 = 21×86231

Now multiplying the highest exponent prime factors to calculate the LCM of 17240 and 17246.

LCM(17240,17246) = 23×51×4311×86231
LCM(17240,17246) = 148660520

Factors of 17240

List of positive integer factors of 17240 that divides 17240 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 431, 862, 1724, 2155, 3448, 4310, 8620, 17240

Factors of 17246

List of positive integer factors of 17246 that divides 17246 without a remainder.

1, 2, 8623, 17246

Least Common Multiple of 17240 and 17246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17240 and 17246, than apply into the LCM equation.

GCF(17240,17246) = 2
LCM(17240,17246) = ( 17240 × 17246) / 2
LCM(17240,17246) = 297321040 / 2
LCM(17240,17246) = 148660520

Properties of LCM 17240 and 17246

(i) The LCM of 17246 and 17240 is associative

LCM of 17240 and 17246 = LCM of 17246 and 17240

Related Least Common Multiples of 17240

Related Least Common Multiples of 17246

Frequently Asked Questions on LCM of 17240 and 17246

1. What is the LCM of 17240 and 17246?

Answer: LCM of 17240 and 17246 is 148660520.

2. What are the Factors of 17240?

Answer: Factors of 17240 are 1, 2, 4, 5, 8, 10, 20, 40, 431, 862, 1724, 2155, 3448, 4310, 8620, 17240. There are 16 integers that are factors of 17240. The greatest factor of 17240 is 17240.

3. What are the Factors of 17246?

Answer: Factors of 17246 are 1, 2, 8623, 17246. There are 4 integers that are factors of 17246. The greatest factor of 17246 is 17246.

4. How to Find the LCM of 17240 and 17246?

Answer:

Least Common Multiple of 17240 and 17246 = 148660520

Step 1: Find the prime factorization of 17240

17240 = 2 x 2 x 2 x 5 x 431

Step 2: Find the prime factorization of 17246

17246 = 2 x 8623

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

LCM = 148660520 = 2 x 2 x 2 x 5 x 431 x 8623

Step 4: Therefore, the least common multiple of 17240 and 17246 is 148660520.