Least Common Multiple of 365 and 373

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 373 the smallest integer that is 136145 that is divisible by both numbers.

Least Common Multiple (LCM) of 365 and 373 is 136145.

LCM(365,373) = 136145

LCM of 365 and 373

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

LCM of:
and

Least Common Multiple of 365 and 373

LCM of 365 and 373 is 136145

Least common multiple can be found by multiplying the highest exponent prime factors of 365 and 373. First we will calculate the prime factors of 365 and 373.

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 373


373 373
1

Prime factors of 373 are 373. Prime factorization of 373 in exponential form is:

373 = 3731

Now multiplying the highest exponent prime factors to calculate the LCM of 365 and 373.

LCM(365,373) = 51×731×3731
LCM(365,373) = 136145

Factors of 365

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

1, 5, 73, 365

Factors of 373

List of positive integer factors of 373 that divides 373 without a remainder.

1, 373

Least Common Multiple of 365 and 373 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 373, than apply into the LCM equation.

GCF(365,373) = 1
LCM(365,373) = ( 365 × 373) / 1
LCM(365,373) = 136145 / 1
LCM(365,373) = 136145

Properties of LCM 365 and 373

(i) The LCM of 373 and 365 is associative

LCM of 365 and 373 = LCM of 373 and 365

Related Least Common Multiples of 365

Related Least Common Multiples of 373

Frequently Asked Questions on LCM of 365 and 373

1. What is the LCM of 365 and 373?

Answer: LCM of 365 and 373 is 136145.

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 373?

Answer: Factors of 373 are 1, 373. There are 2 integers that are factors of 373. The greatest factor of 373 is 373.

4. How to Find the LCM of 365 and 373?

Answer:

Least Common Multiple of 365 and 373 = 136145

Step 1: Find the prime factorization of 365

365 = 5 x 73

Step 2: Find the prime factorization of 373

373 = 373

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

LCM = 136145 = 5 x 73 x 373

Step 4: Therefore, the least common multiple of 365 and 373 is 136145.