Least Common Multiple of 7419 and 7426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7419 and 7426 the smallest integer that is 55093494 that is divisible by both numbers.

Least Common Multiple (LCM) of 7419 and 7426 is 55093494.

LCM(7419,7426) = 55093494

LCM of 7419 and 7426

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

LCM of:
and

Least Common Multiple of 7419 and 7426

LCM of 7419 and 7426 is 55093494

Least common multiple can be found by multiplying the highest exponent prime factors of 7419 and 7426. First we will calculate the prime factors of 7419 and 7426.

Prime Factorization of 7419


3 7419
2473 2473
1

Prime factors of 7419 are 3,2473. Prime factorization of 7419 in exponential form is:

7419 = 31×24731

Prime Factorization of 7426


2 7426
47 3713
79 79
1

Prime factors of 7426 are 2, 47,79. Prime factorization of 7426 in exponential form is:

7426 = 21×471×791

Now multiplying the highest exponent prime factors to calculate the LCM of 7419 and 7426.

LCM(7419,7426) = 21×31×471×791×24731
LCM(7419,7426) = 55093494

Factors of 7419

List of positive integer factors of 7419 that divides 7419 without a remainder.

1, 3, 2473, 7419

Factors of 7426

List of positive integer factors of 7426 that divides 7426 without a remainder.

1, 2, 47, 79, 94, 158, 3713, 7426

Least Common Multiple of 7419 and 7426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7419 and 7426, than apply into the LCM equation.

GCF(7419,7426) = 1
LCM(7419,7426) = ( 7419 × 7426) / 1
LCM(7419,7426) = 55093494 / 1
LCM(7419,7426) = 55093494

Properties of LCM 7419 and 7426

(i) The LCM of 7426 and 7419 is associative

LCM of 7419 and 7426 = LCM of 7426 and 7419

Related Least Common Multiples of 7419

Related Least Common Multiples of 7426

Frequently Asked Questions on LCM of 7419 and 7426

1. What is the LCM of 7419 and 7426?

Answer: LCM of 7419 and 7426 is 55093494.

2. What are the Factors of 7419?

Answer: Factors of 7419 are 1, 3, 2473, 7419. There are 4 integers that are factors of 7419. The greatest factor of 7419 is 7419.

3. What are the Factors of 7426?

Answer: Factors of 7426 are 1, 2, 47, 79, 94, 158, 3713, 7426. There are 8 integers that are factors of 7426. The greatest factor of 7426 is 7426.

4. How to Find the LCM of 7419 and 7426?

Answer:

Least Common Multiple of 7419 and 7426 = 55093494

Step 1: Find the prime factorization of 7419

7419 = 3 x 2473

Step 2: Find the prime factorization of 7426

7426 = 2 x 47 x 79

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

LCM = 55093494 = 2 x 3 x 47 x 79 x 2473

Step 4: Therefore, the least common multiple of 7419 and 7426 is 55093494.