Least Common Multiple of 7418 and 7423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7418 and 7423 the smallest integer that is 55063814 that is divisible by both numbers.

Least Common Multiple (LCM) of 7418 and 7423 is 55063814.

LCM(7418,7423) = 55063814

LCM of 7418 and 7423

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

LCM of:
and

Least Common Multiple of 7418 and 7423

LCM of 7418 and 7423 is 55063814

Least common multiple can be found by multiplying the highest exponent prime factors of 7418 and 7423. First we will calculate the prime factors of 7418 and 7423.

Prime Factorization of 7418


2 7418
3709 3709
1

Prime factors of 7418 are 2,3709. Prime factorization of 7418 in exponential form is:

7418 = 21×37091

Prime Factorization of 7423


13 7423
571 571
1

Prime factors of 7423 are 13,571. Prime factorization of 7423 in exponential form is:

7423 = 131×5711

Now multiplying the highest exponent prime factors to calculate the LCM of 7418 and 7423.

LCM(7418,7423) = 21×131×5711×37091
LCM(7418,7423) = 55063814

Factors of 7418

List of positive integer factors of 7418 that divides 7418 without a remainder.

1, 2, 3709, 7418

Factors of 7423

List of positive integer factors of 7423 that divides 7423 without a remainder.

1, 13, 571, 7423

Least Common Multiple of 7418 and 7423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7418 and 7423, than apply into the LCM equation.

GCF(7418,7423) = 1
LCM(7418,7423) = ( 7418 × 7423) / 1
LCM(7418,7423) = 55063814 / 1
LCM(7418,7423) = 55063814

Properties of LCM 7418 and 7423

(i) The LCM of 7423 and 7418 is associative

LCM of 7418 and 7423 = LCM of 7423 and 7418

Related Least Common Multiples of 7418

Related Least Common Multiples of 7423

Frequently Asked Questions on LCM of 7418 and 7423

1. What is the LCM of 7418 and 7423?

Answer: LCM of 7418 and 7423 is 55063814.

2. What are the Factors of 7418?

Answer: Factors of 7418 are 1, 2, 3709, 7418. There are 4 integers that are factors of 7418. The greatest factor of 7418 is 7418.

3. What are the Factors of 7423?

Answer: Factors of 7423 are 1, 13, 571, 7423. There are 4 integers that are factors of 7423. The greatest factor of 7423 is 7423.

4. How to Find the LCM of 7418 and 7423?

Answer:

Least Common Multiple of 7418 and 7423 = 55063814

Step 1: Find the prime factorization of 7418

7418 = 2 x 3709

Step 2: Find the prime factorization of 7423

7423 = 13 x 571

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

LCM = 55063814 = 2 x 13 x 571 x 3709

Step 4: Therefore, the least common multiple of 7418 and 7423 is 55063814.