Least Common Multiple of 7369 and 7373

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7369 and 7373 the smallest integer that is 54331637 that is divisible by both numbers.

Least Common Multiple (LCM) of 7369 and 7373 is 54331637.

LCM(7369,7373) = 54331637

LCM of 7369 and 7373

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

LCM of:
and

Least Common Multiple of 7369 and 7373

LCM of 7369 and 7373 is 54331637

Least common multiple can be found by multiplying the highest exponent prime factors of 7369 and 7373. First we will calculate the prime factors of 7369 and 7373.

Prime Factorization of 7369


7369 7369
1

Prime factors of 7369 are 7369. Prime factorization of 7369 in exponential form is:

7369 = 73691

Prime Factorization of 7373


73 7373
101 101
1

Prime factors of 7373 are 73,101. Prime factorization of 7373 in exponential form is:

7373 = 731×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 7369 and 7373.

LCM(7369,7373) = 731×1011×73691
LCM(7369,7373) = 54331637

Factors of 7369

List of positive integer factors of 7369 that divides 7369 without a remainder.

1, 7369

Factors of 7373

List of positive integer factors of 7373 that divides 7373 without a remainder.

1, 73, 101, 7373

Least Common Multiple of 7369 and 7373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7369 and 7373, than apply into the LCM equation.

GCF(7369,7373) = 1
LCM(7369,7373) = ( 7369 × 7373) / 1
LCM(7369,7373) = 54331637 / 1
LCM(7369,7373) = 54331637

Properties of LCM 7369 and 7373

(i) The LCM of 7373 and 7369 is associative

LCM of 7369 and 7373 = LCM of 7373 and 7369

Related Least Common Multiples of 7369

Related Least Common Multiples of 7373

Frequently Asked Questions on LCM of 7369 and 7373

1. What is the LCM of 7369 and 7373?

Answer: LCM of 7369 and 7373 is 54331637.

2. What are the Factors of 7369?

Answer: Factors of 7369 are 1, 7369. There are 2 integers that are factors of 7369. The greatest factor of 7369 is 7369.

3. What are the Factors of 7373?

Answer: Factors of 7373 are 1, 73, 101, 7373. There are 4 integers that are factors of 7373. The greatest factor of 7373 is 7373.

4. How to Find the LCM of 7369 and 7373?

Answer:

Least Common Multiple of 7369 and 7373 = 54331637

Step 1: Find the prime factorization of 7369

7369 = 7369

Step 2: Find the prime factorization of 7373

7373 = 73 x 101

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

LCM = 54331637 = 73 x 101 x 7369

Step 4: Therefore, the least common multiple of 7369 and 7373 is 54331637.