Least Common Multiple of 7369 and 7376

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 7376 the smallest integer that is 54353744 that is divisible by both numbers.

Least Common Multiple (LCM) of 7369 and 7376 is 54353744.

LCM(7369,7376) = 54353744

LCM of 7369 and 7376

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

LCM of:
and

Least Common Multiple of 7369 and 7376

LCM of 7369 and 7376 is 54353744

Least common multiple can be found by multiplying the highest exponent prime factors of 7369 and 7376. First we will calculate the prime factors of 7369 and 7376.

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 7376


2 7376
2 3688
2 1844
2 922
461 461
1

Prime factors of 7376 are 2,461. Prime factorization of 7376 in exponential form is:

7376 = 24×4611

Now multiplying the highest exponent prime factors to calculate the LCM of 7369 and 7376.

LCM(7369,7376) = 24×4611×73691
LCM(7369,7376) = 54353744

Factors of 7369

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

1, 7369

Factors of 7376

List of positive integer factors of 7376 that divides 7376 without a remainder.

1, 2, 4, 8, 16, 461, 922, 1844, 3688, 7376

Least Common Multiple of 7369 and 7376 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 7376, than apply into the LCM equation.

GCF(7369,7376) = 1
LCM(7369,7376) = ( 7369 × 7376) / 1
LCM(7369,7376) = 54353744 / 1
LCM(7369,7376) = 54353744

Properties of LCM 7369 and 7376

(i) The LCM of 7376 and 7369 is associative

LCM of 7369 and 7376 = LCM of 7376 and 7369

Related Least Common Multiples of 7369

Related Least Common Multiples of 7376

Frequently Asked Questions on LCM of 7369 and 7376

1. What is the LCM of 7369 and 7376?

Answer: LCM of 7369 and 7376 is 54353744.

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 7376?

Answer: Factors of 7376 are 1, 2, 4, 8, 16, 461, 922, 1844, 3688, 7376. There are 10 integers that are factors of 7376. The greatest factor of 7376 is 7376.

4. How to Find the LCM of 7369 and 7376?

Answer:

Least Common Multiple of 7369 and 7376 = 54353744

Step 1: Find the prime factorization of 7369

7369 = 7369

Step 2: Find the prime factorization of 7376

7376 = 2 x 2 x 2 x 2 x 461

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

LCM = 54353744 = 2 x 2 x 2 x 2 x 461 x 7369

Step 4: Therefore, the least common multiple of 7369 and 7376 is 54353744.