Least Common Multiple of 419 and 424

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 424 the smallest integer that is 177656 that is divisible by both numbers.

Least Common Multiple (LCM) of 419 and 424 is 177656.

LCM(419,424) = 177656

LCM of 419 and 424

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

LCM of:
and

Least Common Multiple of 419 and 424

LCM of 419 and 424 is 177656

Least common multiple can be found by multiplying the highest exponent prime factors of 419 and 424. First we will calculate the prime factors of 419 and 424.

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 424


2 424
2 212
2 106
53 53
1

Prime factors of 424 are 2,53. Prime factorization of 424 in exponential form is:

424 = 23×531

Now multiplying the highest exponent prime factors to calculate the LCM of 419 and 424.

LCM(419,424) = 23×531×4191
LCM(419,424) = 177656

Factors of 419

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

1, 419

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Least Common Multiple of 419 and 424 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 424, than apply into the LCM equation.

GCF(419,424) = 1
LCM(419,424) = ( 419 × 424) / 1
LCM(419,424) = 177656 / 1
LCM(419,424) = 177656

Properties of LCM 419 and 424

(i) The LCM of 424 and 419 is associative

LCM of 419 and 424 = LCM of 424 and 419

Related Least Common Multiples of 419

Related Least Common Multiples of 424

Frequently Asked Questions on LCM of 419 and 424

1. What is the LCM of 419 and 424?

Answer: LCM of 419 and 424 is 177656.

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 424?

Answer: Factors of 424 are 1, 2, 4, 8, 53, 106, 212, 424. There are 8 integers that are factors of 424. The greatest factor of 424 is 424.

4. How to Find the LCM of 419 and 424?

Answer:

Least Common Multiple of 419 and 424 = 177656

Step 1: Find the prime factorization of 419

419 = 419

Step 2: Find the prime factorization of 424

424 = 2 x 2 x 2 x 53

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

LCM = 177656 = 2 x 2 x 2 x 53 x 419

Step 4: Therefore, the least common multiple of 419 and 424 is 177656.