Least Common Multiple of 368 and 372

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 372 the smallest integer that is 34224 that is divisible by both numbers.

Least Common Multiple (LCM) of 368 and 372 is 34224.

LCM(368,372) = 34224

LCM of 368 and 372

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

LCM of:
and

Least Common Multiple of 368 and 372

LCM of 368 and 372 is 34224

Least common multiple can be found by multiplying the highest exponent prime factors of 368 and 372. First we will calculate the prime factors of 368 and 372.

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 372


2 372
2 186
3 93
31 31
1

Prime factors of 372 are 2, 3,31. Prime factorization of 372 in exponential form is:

372 = 22×31×311

Now multiplying the highest exponent prime factors to calculate the LCM of 368 and 372.

LCM(368,372) = 24×31×231×311
LCM(368,372) = 34224

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 372

List of positive integer factors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Least Common Multiple of 368 and 372 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 372, than apply into the LCM equation.

GCF(368,372) = 4
LCM(368,372) = ( 368 × 372) / 4
LCM(368,372) = 136896 / 4
LCM(368,372) = 34224

Properties of LCM 368 and 372

(i) The LCM of 372 and 368 is associative

LCM of 368 and 372 = LCM of 372 and 368

Related Least Common Multiples of 368

Related Least Common Multiples of 372

Frequently Asked Questions on LCM of 368 and 372

1. What is the LCM of 368 and 372?

Answer: LCM of 368 and 372 is 34224.

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 372?

Answer: Factors of 372 are 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372. There are 12 integers that are factors of 372. The greatest factor of 372 is 372.

4. How to Find the LCM of 368 and 372?

Answer:

Least Common Multiple of 368 and 372 = 34224

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 372

372 = 2 x 2 x 3 x 31

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

LCM = 34224 = 2 x 2 x 2 x 2 x 3 x 23 x 31

Step 4: Therefore, the least common multiple of 368 and 372 is 34224.