Least Common Multiple of 364 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 364 and 372 the smallest integer that is 33852 that is divisible by both numbers.

Least Common Multiple (LCM) of 364 and 372 is 33852.

LCM(364,372) = 33852

LCM of 364 and 372

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

LCM of:
and

Least Common Multiple of 364 and 372

LCM of 364 and 372 is 33852

Least common multiple can be found by multiplying the highest exponent prime factors of 364 and 372. First we will calculate the prime factors of 364 and 372.

Prime Factorization of 364


2 364
2 182
7 91
13 13
1

Prime factors of 364 are 2, 7,13. Prime factorization of 364 in exponential form is:

364 = 22×71×131

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 364 and 372.

LCM(364,372) = 22×31×71×131×311
LCM(364,372) = 33852

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

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 364 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 364 and 372, than apply into the LCM equation.

GCF(364,372) = 4
LCM(364,372) = ( 364 × 372) / 4
LCM(364,372) = 135408 / 4
LCM(364,372) = 33852

Properties of LCM 364 and 372

(i) The LCM of 372 and 364 is associative

LCM of 364 and 372 = LCM of 372 and 364

Related Least Common Multiples of 364

Related Least Common Multiples of 372

Frequently Asked Questions on LCM of 364 and 372

1. What is the LCM of 364 and 372?

Answer: LCM of 364 and 372 is 33852.

2. What are the Factors of 364?

Answer: Factors of 364 are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364. There are 12 integers that are factors of 364. The greatest factor of 364 is 364.

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 364 and 372?

Answer:

Least Common Multiple of 364 and 372 = 33852

Step 1: Find the prime factorization of 364

364 = 2 x 2 x 7 x 13

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 = 33852 = 2 x 2 x 3 x 7 x 13 x 31

Step 4: Therefore, the least common multiple of 364 and 372 is 33852.