Least Common Multiple of 367 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 367 and 372 the smallest integer that is 136524 that is divisible by both numbers.

Least Common Multiple (LCM) of 367 and 372 is 136524.

LCM(367,372) = 136524

LCM of 367 and 372

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

LCM of:
and

Least Common Multiple of 367 and 372

LCM of 367 and 372 is 136524

Least common multiple can be found by multiplying the highest exponent prime factors of 367 and 372. First we will calculate the prime factors of 367 and 372.

Prime Factorization of 367


367 367
1

Prime factors of 367 are 367. Prime factorization of 367 in exponential form is:

367 = 3671

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 367 and 372.

LCM(367,372) = 22×31×311×3671
LCM(367,372) = 136524

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1, 367

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 367 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 367 and 372, than apply into the LCM equation.

GCF(367,372) = 1
LCM(367,372) = ( 367 × 372) / 1
LCM(367,372) = 136524 / 1
LCM(367,372) = 136524

Properties of LCM 367 and 372

(i) The LCM of 372 and 367 is associative

LCM of 367 and 372 = LCM of 372 and 367

Related Least Common Multiples of 367

Related Least Common Multiples of 372

Frequently Asked Questions on LCM of 367 and 372

1. What is the LCM of 367 and 372?

Answer: LCM of 367 and 372 is 136524.

2. What are the Factors of 367?

Answer: Factors of 367 are 1, 367. There are 2 integers that are factors of 367. The greatest factor of 367 is 367.

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 367 and 372?

Answer:

Least Common Multiple of 367 and 372 = 136524

Step 1: Find the prime factorization of 367

367 = 367

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 = 136524 = 2 x 2 x 3 x 31 x 367

Step 4: Therefore, the least common multiple of 367 and 372 is 136524.