Least Common Multiple of 7316 and 7319

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7316 and 7319 the smallest integer that is 53545804 that is divisible by both numbers.

Least Common Multiple (LCM) of 7316 and 7319 is 53545804.

LCM(7316,7319) = 53545804

LCM of 7316 and 7319

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

LCM of:
and

Least Common Multiple of 7316 and 7319

LCM of 7316 and 7319 is 53545804

Least common multiple can be found by multiplying the highest exponent prime factors of 7316 and 7319. First we will calculate the prime factors of 7316 and 7319.

Prime Factorization of 7316


2 7316
2 3658
31 1829
59 59
1

Prime factors of 7316 are 2, 31,59. Prime factorization of 7316 in exponential form is:

7316 = 22×311×591

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7316 and 7319.

LCM(7316,7319) = 22×131×311×591×5631
LCM(7316,7319) = 53545804

Factors of 7316

List of positive integer factors of 7316 that divides 7316 without a remainder.

1, 2, 4, 31, 59, 62, 118, 124, 236, 1829, 3658, 7316

Factors of 7319

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

1, 13, 563, 7319

Least Common Multiple of 7316 and 7319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7316 and 7319, than apply into the LCM equation.

GCF(7316,7319) = 1
LCM(7316,7319) = ( 7316 × 7319) / 1
LCM(7316,7319) = 53545804 / 1
LCM(7316,7319) = 53545804

Properties of LCM 7316 and 7319

(i) The LCM of 7319 and 7316 is associative

LCM of 7316 and 7319 = LCM of 7319 and 7316

Related Least Common Multiples of 7316

Related Least Common Multiples of 7319

Frequently Asked Questions on LCM of 7316 and 7319

1. What is the LCM of 7316 and 7319?

Answer: LCM of 7316 and 7319 is 53545804.

2. What are the Factors of 7316?

Answer: Factors of 7316 are 1, 2, 4, 31, 59, 62, 118, 124, 236, 1829, 3658, 7316. There are 12 integers that are factors of 7316. The greatest factor of 7316 is 7316.

3. 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.

4. How to Find the LCM of 7316 and 7319?

Answer:

Least Common Multiple of 7316 and 7319 = 53545804

Step 1: Find the prime factorization of 7316

7316 = 2 x 2 x 31 x 59

Step 2: Find the prime factorization of 7319

7319 = 13 x 563

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

LCM = 53545804 = 2 x 2 x 13 x 31 x 59 x 563

Step 4: Therefore, the least common multiple of 7316 and 7319 is 53545804.