Least Common Multiple of 1367 and 1374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1367 and 1374 the smallest integer that is 1878258 that is divisible by both numbers.

Least Common Multiple (LCM) of 1367 and 1374 is 1878258.

LCM(1367,1374) = 1878258

LCM of 1367 and 1374

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

LCM of:
and

Least Common Multiple of 1367 and 1374

LCM of 1367 and 1374 is 1878258

Least common multiple can be found by multiplying the highest exponent prime factors of 1367 and 1374. First we will calculate the prime factors of 1367 and 1374.

Prime Factorization of 1367


1367 1367
1

Prime factors of 1367 are 1367. Prime factorization of 1367 in exponential form is:

1367 = 13671

Prime Factorization of 1374


2 1374
3 687
229 229
1

Prime factors of 1374 are 2, 3,229. Prime factorization of 1374 in exponential form is:

1374 = 21×31×2291

Now multiplying the highest exponent prime factors to calculate the LCM of 1367 and 1374.

LCM(1367,1374) = 21×31×2291×13671
LCM(1367,1374) = 1878258

Factors of 1367

List of positive integer factors of 1367 that divides 1367 without a remainder.

1, 1367

Factors of 1374

List of positive integer factors of 1374 that divides 1374 without a remainder.

1, 2, 3, 6, 229, 458, 687, 1374

Least Common Multiple of 1367 and 1374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1367 and 1374, than apply into the LCM equation.

GCF(1367,1374) = 1
LCM(1367,1374) = ( 1367 × 1374) / 1
LCM(1367,1374) = 1878258 / 1
LCM(1367,1374) = 1878258

Properties of LCM 1367 and 1374

(i) The LCM of 1374 and 1367 is associative

LCM of 1367 and 1374 = LCM of 1374 and 1367

Related Least Common Multiples of 1367

Related Least Common Multiples of 1374

Frequently Asked Questions on LCM of 1367 and 1374

1. What is the LCM of 1367 and 1374?

Answer: LCM of 1367 and 1374 is 1878258.

2. What are the Factors of 1367?

Answer: Factors of 1367 are 1, 1367. There are 2 integers that are factors of 1367. The greatest factor of 1367 is 1367.

3. What are the Factors of 1374?

Answer: Factors of 1374 are 1, 2, 3, 6, 229, 458, 687, 1374. There are 8 integers that are factors of 1374. The greatest factor of 1374 is 1374.

4. How to Find the LCM of 1367 and 1374?

Answer:

Least Common Multiple of 1367 and 1374 = 1878258

Step 1: Find the prime factorization of 1367

1367 = 1367

Step 2: Find the prime factorization of 1374

1374 = 2 x 3 x 229

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

LCM = 1878258 = 2 x 3 x 229 x 1367

Step 4: Therefore, the least common multiple of 1367 and 1374 is 1878258.