Least Common Multiple of 1376 and 1380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1376 and 1380 the smallest integer that is 474720 that is divisible by both numbers.

Least Common Multiple (LCM) of 1376 and 1380 is 474720.

LCM(1376,1380) = 474720

LCM of 1376 and 1380

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

LCM of:
and

Least Common Multiple of 1376 and 1380

LCM of 1376 and 1380 is 474720

Least common multiple can be found by multiplying the highest exponent prime factors of 1376 and 1380. First we will calculate the prime factors of 1376 and 1380.

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

Prime Factorization of 1380


2 1380
2 690
3 345
5 115
23 23
1

Prime factors of 1380 are 2, 3, 5,23. Prime factorization of 1380 in exponential form is:

1380 = 22×31×51×231

Now multiplying the highest exponent prime factors to calculate the LCM of 1376 and 1380.

LCM(1376,1380) = 25×31×51×231×431
LCM(1376,1380) = 474720

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

Factors of 1380

List of positive integer factors of 1380 that divides 1380 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 60, 69, 92, 115, 138, 230, 276, 345, 460, 690, 1380

Least Common Multiple of 1376 and 1380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1376 and 1380, than apply into the LCM equation.

GCF(1376,1380) = 4
LCM(1376,1380) = ( 1376 × 1380) / 4
LCM(1376,1380) = 1898880 / 4
LCM(1376,1380) = 474720

Properties of LCM 1376 and 1380

(i) The LCM of 1380 and 1376 is associative

LCM of 1376 and 1380 = LCM of 1380 and 1376

Related Least Common Multiples of 1376

Related Least Common Multiples of 1380

Frequently Asked Questions on LCM of 1376 and 1380

1. What is the LCM of 1376 and 1380?

Answer: LCM of 1376 and 1380 is 474720.

2. 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.

3. What are the Factors of 1380?

Answer: Factors of 1380 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 60, 69, 92, 115, 138, 230, 276, 345, 460, 690, 1380. There are 24 integers that are factors of 1380. The greatest factor of 1380 is 1380.

4. How to Find the LCM of 1376 and 1380?

Answer:

Least Common Multiple of 1376 and 1380 = 474720

Step 1: Find the prime factorization of 1376

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

Step 2: Find the prime factorization of 1380

1380 = 2 x 2 x 3 x 5 x 23

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

LCM = 474720 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 23 x 43

Step 4: Therefore, the least common multiple of 1376 and 1380 is 474720.