Least Common Multiple of 7319 and 7324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7319 and 7324 the smallest integer that is 53604356 that is divisible by both numbers.

Least Common Multiple (LCM) of 7319 and 7324 is 53604356.

LCM(7319,7324) = 53604356

LCM of 7319 and 7324

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

LCM of:
and

Least Common Multiple of 7319 and 7324

LCM of 7319 and 7324 is 53604356

Least common multiple can be found by multiplying the highest exponent prime factors of 7319 and 7324. First we will calculate the prime factors of 7319 and 7324.

Prime Factorization of 7319


13 7319
563 563
1

Prime factors of 7319 are 13,563. Prime factorization of 7319 in exponential form is:

7319 = 131×5631

Prime Factorization of 7324


2 7324
2 3662
1831 1831
1

Prime factors of 7324 are 2,1831. Prime factorization of 7324 in exponential form is:

7324 = 22×18311

Now multiplying the highest exponent prime factors to calculate the LCM of 7319 and 7324.

LCM(7319,7324) = 22×131×5631×18311
LCM(7319,7324) = 53604356

Factors of 7319

List of positive integer factors of 7319 that divides 7319 without a remainder.

1, 13, 563, 7319

Factors of 7324

List of positive integer factors of 7324 that divides 7324 without a remainder.

1, 2, 4, 1831, 3662, 7324

Least Common Multiple of 7319 and 7324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7319 and 7324, than apply into the LCM equation.

GCF(7319,7324) = 1
LCM(7319,7324) = ( 7319 × 7324) / 1
LCM(7319,7324) = 53604356 / 1
LCM(7319,7324) = 53604356

Properties of LCM 7319 and 7324

(i) The LCM of 7324 and 7319 is associative

LCM of 7319 and 7324 = LCM of 7324 and 7319

Related Least Common Multiples of 7319

Related Least Common Multiples of 7324

Frequently Asked Questions on LCM of 7319 and 7324

1. What is the LCM of 7319 and 7324?

Answer: LCM of 7319 and 7324 is 53604356.

2. What are the Factors of 7319?

Answer: Factors of 7319 are 1, 13, 563, 7319. There are 4 integers that are factors of 7319. The greatest factor of 7319 is 7319.

3. What are the Factors of 7324?

Answer: Factors of 7324 are 1, 2, 4, 1831, 3662, 7324. There are 6 integers that are factors of 7324. The greatest factor of 7324 is 7324.

4. How to Find the LCM of 7319 and 7324?

Answer:

Least Common Multiple of 7319 and 7324 = 53604356

Step 1: Find the prime factorization of 7319

7319 = 13 x 563

Step 2: Find the prime factorization of 7324

7324 = 2 x 2 x 1831

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

LCM = 53604356 = 2 x 2 x 13 x 563 x 1831

Step 4: Therefore, the least common multiple of 7319 and 7324 is 53604356.