Least Common Multiple of 365 and 370

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 370 the smallest integer that is 27010 that is divisible by both numbers.

Least Common Multiple (LCM) of 365 and 370 is 27010.

LCM(365,370) = 27010

LCM of 365 and 370

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

LCM of:
and

Least Common Multiple of 365 and 370

LCM of 365 and 370 is 27010

Least common multiple can be found by multiplying the highest exponent prime factors of 365 and 370. First we will calculate the prime factors of 365 and 370.

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 370


2 370
5 185
37 37
1

Prime factors of 370 are 2, 5,37. Prime factorization of 370 in exponential form is:

370 = 21×51×371

Now multiplying the highest exponent prime factors to calculate the LCM of 365 and 370.

LCM(365,370) = 21×51×371×731
LCM(365,370) = 27010

Factors of 365

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

1, 5, 73, 365

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Least Common Multiple of 365 and 370 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 370, than apply into the LCM equation.

GCF(365,370) = 5
LCM(365,370) = ( 365 × 370) / 5
LCM(365,370) = 135050 / 5
LCM(365,370) = 27010

Properties of LCM 365 and 370

(i) The LCM of 370 and 365 is associative

LCM of 365 and 370 = LCM of 370 and 365

Related Least Common Multiples of 365

Related Least Common Multiples of 370

Frequently Asked Questions on LCM of 365 and 370

1. What is the LCM of 365 and 370?

Answer: LCM of 365 and 370 is 27010.

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 370?

Answer: Factors of 370 are 1, 2, 5, 10, 37, 74, 185, 370. There are 8 integers that are factors of 370. The greatest factor of 370 is 370.

4. How to Find the LCM of 365 and 370?

Answer:

Least Common Multiple of 365 and 370 = 27010

Step 1: Find the prime factorization of 365

365 = 5 x 73

Step 2: Find the prime factorization of 370

370 = 2 x 5 x 37

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

LCM = 27010 = 2 x 5 x 37 x 73

Step 4: Therefore, the least common multiple of 365 and 370 is 27010.