Least Common Multiple of 1354 and 1357

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1354 and 1357 the smallest integer that is 1837378 that is divisible by both numbers.

Least Common Multiple (LCM) of 1354 and 1357 is 1837378.

LCM(1354,1357) = 1837378

LCM of 1354 and 1357

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

LCM of:
and

Least Common Multiple of 1354 and 1357

LCM of 1354 and 1357 is 1837378

Least common multiple can be found by multiplying the highest exponent prime factors of 1354 and 1357. First we will calculate the prime factors of 1354 and 1357.

Prime Factorization of 1354


2 1354
677 677
1

Prime factors of 1354 are 2,677. Prime factorization of 1354 in exponential form is:

1354 = 21×6771

Prime Factorization of 1357


23 1357
59 59
1

Prime factors of 1357 are 23,59. Prime factorization of 1357 in exponential form is:

1357 = 231×591

Now multiplying the highest exponent prime factors to calculate the LCM of 1354 and 1357.

LCM(1354,1357) = 21×231×591×6771
LCM(1354,1357) = 1837378

Factors of 1354

List of positive integer factors of 1354 that divides 1354 without a remainder.

1, 2, 677, 1354

Factors of 1357

List of positive integer factors of 1357 that divides 1357 without a remainder.

1, 23, 59, 1357

Least Common Multiple of 1354 and 1357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1354 and 1357, than apply into the LCM equation.

GCF(1354,1357) = 1
LCM(1354,1357) = ( 1354 × 1357) / 1
LCM(1354,1357) = 1837378 / 1
LCM(1354,1357) = 1837378

Properties of LCM 1354 and 1357

(i) The LCM of 1357 and 1354 is associative

LCM of 1354 and 1357 = LCM of 1357 and 1354

Related Least Common Multiples of 1354

Related Least Common Multiples of 1357

Frequently Asked Questions on LCM of 1354 and 1357

1. What is the LCM of 1354 and 1357?

Answer: LCM of 1354 and 1357 is 1837378.

2. What are the Factors of 1354?

Answer: Factors of 1354 are 1, 2, 677, 1354. There are 4 integers that are factors of 1354. The greatest factor of 1354 is 1354.

3. What are the Factors of 1357?

Answer: Factors of 1357 are 1, 23, 59, 1357. There are 4 integers that are factors of 1357. The greatest factor of 1357 is 1357.

4. How to Find the LCM of 1354 and 1357?

Answer:

Least Common Multiple of 1354 and 1357 = 1837378

Step 1: Find the prime factorization of 1354

1354 = 2 x 677

Step 2: Find the prime factorization of 1357

1357 = 23 x 59

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

LCM = 1837378 = 2 x 23 x 59 x 677

Step 4: Therefore, the least common multiple of 1354 and 1357 is 1837378.