Least Common Multiple of 1374 and 1376

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1374 and 1376 the smallest integer that is 945312 that is divisible by both numbers.

Least Common Multiple (LCM) of 1374 and 1376 is 945312.

LCM(1374,1376) = 945312

LCM of 1374 and 1376

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

LCM of:
and

Least Common Multiple of 1374 and 1376

LCM of 1374 and 1376 is 945312

Least common multiple can be found by multiplying the highest exponent prime factors of 1374 and 1376. First we will calculate the prime factors of 1374 and 1376.

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

Prime Factorization of 1376


2 1376
2 688
2 344
2 172
2 86
43 43
1

Prime factors of 1376 are 2,43. Prime factorization of 1376 in exponential form is:

1376 = 25×431

Now multiplying the highest exponent prime factors to calculate the LCM of 1374 and 1376.

LCM(1374,1376) = 25×31×431×2291
LCM(1374,1376) = 945312

Factors of 1374

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

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

Factors of 1376

List of positive integer factors of 1376 that divides 1376 without a remainder.

1, 2, 4, 8, 16, 32, 43, 86, 172, 344, 688, 1376

Least Common Multiple of 1374 and 1376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1374 and 1376, than apply into the LCM equation.

GCF(1374,1376) = 2
LCM(1374,1376) = ( 1374 × 1376) / 2
LCM(1374,1376) = 1890624 / 2
LCM(1374,1376) = 945312

Properties of LCM 1374 and 1376

(i) The LCM of 1376 and 1374 is associative

LCM of 1374 and 1376 = LCM of 1376 and 1374

Related Least Common Multiples of 1374

Related Least Common Multiples of 1376

Frequently Asked Questions on LCM of 1374 and 1376

1. What is the LCM of 1374 and 1376?

Answer: LCM of 1374 and 1376 is 945312.

2. 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.

3. What are the Factors of 1376?

Answer: Factors of 1376 are 1, 2, 4, 8, 16, 32, 43, 86, 172, 344, 688, 1376. There are 12 integers that are factors of 1376. The greatest factor of 1376 is 1376.

4. How to Find the LCM of 1374 and 1376?

Answer:

Least Common Multiple of 1374 and 1376 = 945312

Step 1: Find the prime factorization of 1374

1374 = 2 x 3 x 229

Step 2: Find the prime factorization of 1376

1376 = 2 x 2 x 2 x 2 x 2 x 43

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

LCM = 945312 = 2 x 2 x 2 x 2 x 2 x 3 x 43 x 229

Step 4: Therefore, the least common multiple of 1374 and 1376 is 945312.