Least Common Multiple of 368 and 374

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 374 the smallest integer that is 68816 that is divisible by both numbers.

Least Common Multiple (LCM) of 368 and 374 is 68816.

LCM(368,374) = 68816

LCM of 368 and 374

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

LCM of:
and

Least Common Multiple of 368 and 374

LCM of 368 and 374 is 68816

Least common multiple can be found by multiplying the highest exponent prime factors of 368 and 374. First we will calculate the prime factors of 368 and 374.

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 374


2 374
11 187
17 17
1

Prime factors of 374 are 2, 11,17. Prime factorization of 374 in exponential form is:

374 = 21×111×171

Now multiplying the highest exponent prime factors to calculate the LCM of 368 and 374.

LCM(368,374) = 24×111×171×231
LCM(368,374) = 68816

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 374

List of positive integer factors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Least Common Multiple of 368 and 374 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 374, than apply into the LCM equation.

GCF(368,374) = 2
LCM(368,374) = ( 368 × 374) / 2
LCM(368,374) = 137632 / 2
LCM(368,374) = 68816

Properties of LCM 368 and 374

(i) The LCM of 374 and 368 is associative

LCM of 368 and 374 = LCM of 374 and 368

Related Least Common Multiples of 368

Related Least Common Multiples of 374

Frequently Asked Questions on LCM of 368 and 374

1. What is the LCM of 368 and 374?

Answer: LCM of 368 and 374 is 68816.

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 374?

Answer: Factors of 374 are 1, 2, 11, 17, 22, 34, 187, 374. There are 8 integers that are factors of 374. The greatest factor of 374 is 374.

4. How to Find the LCM of 368 and 374?

Answer:

Least Common Multiple of 368 and 374 = 68816

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 374

374 = 2 x 11 x 17

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

LCM = 68816 = 2 x 2 x 2 x 2 x 11 x 17 x 23

Step 4: Therefore, the least common multiple of 368 and 374 is 68816.