Least Common Multiple of 419 and 426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 419 and 426 the smallest integer that is 178494 that is divisible by both numbers.

Least Common Multiple (LCM) of 419 and 426 is 178494.

LCM(419,426) = 178494

LCM of 419 and 426

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

LCM of:
and

Least Common Multiple of 419 and 426

LCM of 419 and 426 is 178494

Least common multiple can be found by multiplying the highest exponent prime factors of 419 and 426. First we will calculate the prime factors of 419 and 426.

Prime Factorization of 419


419 419
1

Prime factors of 419 are 419. Prime factorization of 419 in exponential form is:

419 = 4191

Prime Factorization of 426


2 426
3 213
71 71
1

Prime factors of 426 are 2, 3,71. Prime factorization of 426 in exponential form is:

426 = 21×31×711

Now multiplying the highest exponent prime factors to calculate the LCM of 419 and 426.

LCM(419,426) = 21×31×711×4191
LCM(419,426) = 178494

Factors of 419

List of positive integer factors of 419 that divides 419 without a remainder.

1, 419

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Least Common Multiple of 419 and 426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 419 and 426, than apply into the LCM equation.

GCF(419,426) = 1
LCM(419,426) = ( 419 × 426) / 1
LCM(419,426) = 178494 / 1
LCM(419,426) = 178494

Properties of LCM 419 and 426

(i) The LCM of 426 and 419 is associative

LCM of 419 and 426 = LCM of 426 and 419

Related Least Common Multiples of 419

Related Least Common Multiples of 426

Frequently Asked Questions on LCM of 419 and 426

1. What is the LCM of 419 and 426?

Answer: LCM of 419 and 426 is 178494.

2. What are the Factors of 419?

Answer: Factors of 419 are 1, 419. There are 2 integers that are factors of 419. The greatest factor of 419 is 419.

3. What are the Factors of 426?

Answer: Factors of 426 are 1, 2, 3, 6, 71, 142, 213, 426. There are 8 integers that are factors of 426. The greatest factor of 426 is 426.

4. How to Find the LCM of 419 and 426?

Answer:

Least Common Multiple of 419 and 426 = 178494

Step 1: Find the prime factorization of 419

419 = 419

Step 2: Find the prime factorization of 426

426 = 2 x 3 x 71

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

LCM = 178494 = 2 x 3 x 71 x 419

Step 4: Therefore, the least common multiple of 419 and 426 is 178494.