Least Common Multiple of 368 and 376

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 368 and 376 the smallest integer that is 17296 that is divisible by both numbers.

Least Common Multiple (LCM) of 368 and 376 is 17296.

LCM(368,376) = 17296

LCM of 368 and 376

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

LCM of:
and

Least Common Multiple of 368 and 376

LCM of 368 and 376 is 17296

Least common multiple can be found by multiplying the highest exponent prime factors of 368 and 376. First we will calculate the prime factors of 368 and 376.

Prime Factorization of 368


2 368
2 184
2 92
2 46
23 23
1

Prime factors of 368 are 2,23. Prime factorization of 368 in exponential form is:

368 = 24×231

Prime Factorization of 376


2 376
2 188
2 94
47 47
1

Prime factors of 376 are 2,47. Prime factorization of 376 in exponential form is:

376 = 23×471

Now multiplying the highest exponent prime factors to calculate the LCM of 368 and 376.

LCM(368,376) = 24×231×471
LCM(368,376) = 17296

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Least Common Multiple of 368 and 376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 368 and 376, than apply into the LCM equation.

GCF(368,376) = 8
LCM(368,376) = ( 368 × 376) / 8
LCM(368,376) = 138368 / 8
LCM(368,376) = 17296

Properties of LCM 368 and 376

(i) The LCM of 376 and 368 is associative

LCM of 368 and 376 = LCM of 376 and 368

Related Least Common Multiples of 368

Related Least Common Multiples of 376

Frequently Asked Questions on LCM of 368 and 376

1. What is the LCM of 368 and 376?

Answer: LCM of 368 and 376 is 17296.

2. What are the Factors of 368?

Answer: Factors of 368 are 1, 2, 4, 8, 16, 23, 46, 92, 184, 368. There are 10 integers that are factors of 368. The greatest factor of 368 is 368.

3. What are the Factors of 376?

Answer: Factors of 376 are 1, 2, 4, 8, 47, 94, 188, 376. There are 8 integers that are factors of 376. The greatest factor of 376 is 376.

4. How to Find the LCM of 368 and 376?

Answer:

Least Common Multiple of 368 and 376 = 17296

Step 1: Find the prime factorization of 368

368 = 2 x 2 x 2 x 2 x 23

Step 2: Find the prime factorization of 376

376 = 2 x 2 x 2 x 47

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

LCM = 17296 = 2 x 2 x 2 x 2 x 23 x 47

Step 4: Therefore, the least common multiple of 368 and 376 is 17296.