Least Common Multiple of 365 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 365 and 372 the smallest integer that is 135780 that is divisible by both numbers.

Least Common Multiple (LCM) of 365 and 372 is 135780.

LCM(365,372) = 135780

LCM of 365 and 372

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

LCM of:
and

Least Common Multiple of 365 and 372

LCM of 365 and 372 is 135780

Least common multiple can be found by multiplying the highest exponent prime factors of 365 and 372. First we will calculate the prime factors of 365 and 372.

Prime Factorization of 365


5 365
73 73
1

Prime factors of 365 are 5,73. Prime factorization of 365 in exponential form is:

365 = 51×731

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 365 and 372.

LCM(365,372) = 22×31×51×311×731
LCM(365,372) = 135780

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1, 5, 73, 365

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 365 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 365 and 372, than apply into the LCM equation.

GCF(365,372) = 1
LCM(365,372) = ( 365 × 372) / 1
LCM(365,372) = 135780 / 1
LCM(365,372) = 135780

Properties of LCM 365 and 372

(i) The LCM of 372 and 365 is associative

LCM of 365 and 372 = LCM of 372 and 365

Related Least Common Multiples of 365

Related Least Common Multiples of 372

Frequently Asked Questions on LCM of 365 and 372

1. What is the LCM of 365 and 372?

Answer: LCM of 365 and 372 is 135780.

2. What are the Factors of 365?

Answer: Factors of 365 are 1, 5, 73, 365. There are 4 integers that are factors of 365. The greatest factor of 365 is 365.

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 365 and 372?

Answer:

Least Common Multiple of 365 and 372 = 135780

Step 1: Find the prime factorization of 365

365 = 5 x 73

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 = 135780 = 2 x 2 x 3 x 5 x 31 x 73

Step 4: Therefore, the least common multiple of 365 and 372 is 135780.