Least Common Multiple of 1351 and 1355

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1351 and 1355 the smallest integer that is 1830605 that is divisible by both numbers.

Least Common Multiple (LCM) of 1351 and 1355 is 1830605.

LCM(1351,1355) = 1830605

LCM of 1351 and 1355

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

LCM of:
and

Least Common Multiple of 1351 and 1355

LCM of 1351 and 1355 is 1830605

Least common multiple can be found by multiplying the highest exponent prime factors of 1351 and 1355. First we will calculate the prime factors of 1351 and 1355.

Prime Factorization of 1351


7 1351
193 193
1

Prime factors of 1351 are 7,193. Prime factorization of 1351 in exponential form is:

1351 = 71×1931

Prime Factorization of 1355


5 1355
271 271
1

Prime factors of 1355 are 5,271. Prime factorization of 1355 in exponential form is:

1355 = 51×2711

Now multiplying the highest exponent prime factors to calculate the LCM of 1351 and 1355.

LCM(1351,1355) = 51×71×1931×2711
LCM(1351,1355) = 1830605

Factors of 1351

List of positive integer factors of 1351 that divides 1351 without a remainder.

1, 7, 193, 1351

Factors of 1355

List of positive integer factors of 1355 that divides 1355 without a remainder.

1, 5, 271, 1355

Least Common Multiple of 1351 and 1355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1351 and 1355, than apply into the LCM equation.

GCF(1351,1355) = 1
LCM(1351,1355) = ( 1351 × 1355) / 1
LCM(1351,1355) = 1830605 / 1
LCM(1351,1355) = 1830605

Properties of LCM 1351 and 1355

(i) The LCM of 1355 and 1351 is associative

LCM of 1351 and 1355 = LCM of 1355 and 1351

Related Least Common Multiples of 1351

Related Least Common Multiples of 1355

Frequently Asked Questions on LCM of 1351 and 1355

1. What is the LCM of 1351 and 1355?

Answer: LCM of 1351 and 1355 is 1830605.

2. What are the Factors of 1351?

Answer: Factors of 1351 are 1, 7, 193, 1351. There are 4 integers that are factors of 1351. The greatest factor of 1351 is 1351.

3. What are the Factors of 1355?

Answer: Factors of 1355 are 1, 5, 271, 1355. There are 4 integers that are factors of 1355. The greatest factor of 1355 is 1355.

4. How to Find the LCM of 1351 and 1355?

Answer:

Least Common Multiple of 1351 and 1355 = 1830605

Step 1: Find the prime factorization of 1351

1351 = 7 x 193

Step 2: Find the prime factorization of 1355

1355 = 5 x 271

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

LCM = 1830605 = 5 x 7 x 193 x 271

Step 4: Therefore, the least common multiple of 1351 and 1355 is 1830605.