Least Common Multiple of 369 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 369 and 373 the smallest integer that is 137637 that is divisible by both numbers.

Least Common Multiple (LCM) of 369 and 373 is 137637.

LCM(369,373) = 137637

LCM of 369 and 373

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

LCM of:
and

Least Common Multiple of 369 and 373

LCM of 369 and 373 is 137637

Least common multiple can be found by multiplying the highest exponent prime factors of 369 and 373. First we will calculate the prime factors of 369 and 373.

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 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 369 and 373.

LCM(369,373) = 32×411×3731
LCM(369,373) = 137637

Factors of 369

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

1, 3, 9, 41, 123, 369

Factors of 373

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

1, 373

Least Common Multiple of 369 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 369 and 373, than apply into the LCM equation.

GCF(369,373) = 1
LCM(369,373) = ( 369 × 373) / 1
LCM(369,373) = 137637 / 1
LCM(369,373) = 137637

Properties of LCM 369 and 373

(i) The LCM of 373 and 369 is associative

LCM of 369 and 373 = LCM of 373 and 369

Related Least Common Multiples of 369

Related Least Common Multiples of 373

Frequently Asked Questions on LCM of 369 and 373

1. What is the LCM of 369 and 373?

Answer: LCM of 369 and 373 is 137637.

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 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 369 and 373?

Answer:

Least Common Multiple of 369 and 373 = 137637

Step 1: Find the prime factorization of 369

369 = 3 x 3 x 41

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 = 137637 = 3 x 3 x 41 x 373

Step 4: Therefore, the least common multiple of 369 and 373 is 137637.