Least Common Multiple of 369 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 369 and 372 the smallest integer that is 45756 that is divisible by both numbers.

Least Common Multiple (LCM) of 369 and 372 is 45756.

LCM(369,372) = 45756

LCM of 369 and 372

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

LCM of:
and

Least Common Multiple of 369 and 372

LCM of 369 and 372 is 45756

Least common multiple can be found by multiplying the highest exponent prime factors of 369 and 372. First we will calculate the prime factors of 369 and 372.

Prime Factorization of 369


3 369
3 123
41 41
1

Prime factors of 369 are 3,41. Prime factorization of 369 in exponential form is:

369 = 32×411

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 369 and 372.

LCM(369,372) = 22×32×311×411
LCM(369,372) = 45756

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

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 369 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 369 and 372, than apply into the LCM equation.

GCF(369,372) = 3
LCM(369,372) = ( 369 × 372) / 3
LCM(369,372) = 137268 / 3
LCM(369,372) = 45756

Properties of LCM 369 and 372

(i) The LCM of 372 and 369 is associative

LCM of 369 and 372 = LCM of 372 and 369

Related Least Common Multiples of 369

Related Least Common Multiples of 372

Frequently Asked Questions on LCM of 369 and 372

1. What is the LCM of 369 and 372?

Answer: LCM of 369 and 372 is 45756.

2. What are the Factors of 369?

Answer: Factors of 369 are 1, 3, 9, 41, 123, 369. There are 6 integers that are factors of 369. The greatest factor of 369 is 369.

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 369 and 372?

Answer:

Least Common Multiple of 369 and 372 = 45756

Step 1: Find the prime factorization of 369

369 = 3 x 3 x 41

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 = 45756 = 2 x 2 x 3 x 3 x 31 x 41

Step 4: Therefore, the least common multiple of 369 and 372 is 45756.