Least Common Multiple of 419 and 427

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 427 the smallest integer that is 178913 that is divisible by both numbers.

Least Common Multiple (LCM) of 419 and 427 is 178913.

LCM(419,427) = 178913

LCM of 419 and 427

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

LCM of:
and

Least Common Multiple of 419 and 427

LCM of 419 and 427 is 178913

Least common multiple can be found by multiplying the highest exponent prime factors of 419 and 427. First we will calculate the prime factors of 419 and 427.

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 427


7 427
61 61
1

Prime factors of 427 are 7,61. Prime factorization of 427 in exponential form is:

427 = 71×611

Now multiplying the highest exponent prime factors to calculate the LCM of 419 and 427.

LCM(419,427) = 71×611×4191
LCM(419,427) = 178913

Factors of 419

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

1, 419

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Least Common Multiple of 419 and 427 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 427, than apply into the LCM equation.

GCF(419,427) = 1
LCM(419,427) = ( 419 × 427) / 1
LCM(419,427) = 178913 / 1
LCM(419,427) = 178913

Properties of LCM 419 and 427

(i) The LCM of 427 and 419 is associative

LCM of 419 and 427 = LCM of 427 and 419

Related Least Common Multiples of 419

Related Least Common Multiples of 427

Frequently Asked Questions on LCM of 419 and 427

1. What is the LCM of 419 and 427?

Answer: LCM of 419 and 427 is 178913.

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 427?

Answer: Factors of 427 are 1, 7, 61, 427. There are 4 integers that are factors of 427. The greatest factor of 427 is 427.

4. How to Find the LCM of 419 and 427?

Answer:

Least Common Multiple of 419 and 427 = 178913

Step 1: Find the prime factorization of 419

419 = 419

Step 2: Find the prime factorization of 427

427 = 7 x 61

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

LCM = 178913 = 7 x 61 x 419

Step 4: Therefore, the least common multiple of 419 and 427 is 178913.