Least Common Multiple of 417 and 421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 417 and 421 the smallest integer that is 175557 that is divisible by both numbers.

Least Common Multiple (LCM) of 417 and 421 is 175557.

LCM(417,421) = 175557

LCM of 417 and 421

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

LCM of:
and

Least Common Multiple of 417 and 421

LCM of 417 and 421 is 175557

Least common multiple can be found by multiplying the highest exponent prime factors of 417 and 421. First we will calculate the prime factors of 417 and 421.

Prime Factorization of 417


3 417
139 139
1

Prime factors of 417 are 3,139. Prime factorization of 417 in exponential form is:

417 = 31×1391

Prime Factorization of 421


421 421
1

Prime factors of 421 are 421. Prime factorization of 421 in exponential form is:

421 = 4211

Now multiplying the highest exponent prime factors to calculate the LCM of 417 and 421.

LCM(417,421) = 31×1391×4211
LCM(417,421) = 175557

Factors of 417

List of positive integer factors of 417 that divides 417 without a remainder.

1, 3, 139, 417

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1, 421

Least Common Multiple of 417 and 421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 417 and 421, than apply into the LCM equation.

GCF(417,421) = 1
LCM(417,421) = ( 417 × 421) / 1
LCM(417,421) = 175557 / 1
LCM(417,421) = 175557

Properties of LCM 417 and 421

(i) The LCM of 421 and 417 is associative

LCM of 417 and 421 = LCM of 421 and 417

Related Least Common Multiples of 417

Related Least Common Multiples of 421

Frequently Asked Questions on LCM of 417 and 421

1. What is the LCM of 417 and 421?

Answer: LCM of 417 and 421 is 175557.

2. What are the Factors of 417?

Answer: Factors of 417 are 1, 3, 139, 417. There are 4 integers that are factors of 417. The greatest factor of 417 is 417.

3. What are the Factors of 421?

Answer: Factors of 421 are 1, 421. There are 2 integers that are factors of 421. The greatest factor of 421 is 421.

4. How to Find the LCM of 417 and 421?

Answer:

Least Common Multiple of 417 and 421 = 175557

Step 1: Find the prime factorization of 417

417 = 3 x 139

Step 2: Find the prime factorization of 421

421 = 421

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

LCM = 175557 = 3 x 139 x 421

Step 4: Therefore, the least common multiple of 417 and 421 is 175557.