Least Common Multiple of 416 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 416 and 421 the smallest integer that is 175136 that is divisible by both numbers.

Least Common Multiple (LCM) of 416 and 421 is 175136.

LCM(416,421) = 175136

LCM of 416 and 421

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

LCM of:
and

Least Common Multiple of 416 and 421

LCM of 416 and 421 is 175136

Least common multiple can be found by multiplying the highest exponent prime factors of 416 and 421. First we will calculate the prime factors of 416 and 421.

Prime Factorization of 416


2 416
2 208
2 104
2 52
2 26
13 13
1

Prime factors of 416 are 2,13. Prime factorization of 416 in exponential form is:

416 = 25×131

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 416 and 421.

LCM(416,421) = 25×131×4211
LCM(416,421) = 175136

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Factors of 421

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

1, 421

Least Common Multiple of 416 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 416 and 421, than apply into the LCM equation.

GCF(416,421) = 1
LCM(416,421) = ( 416 × 421) / 1
LCM(416,421) = 175136 / 1
LCM(416,421) = 175136

Properties of LCM 416 and 421

(i) The LCM of 421 and 416 is associative

LCM of 416 and 421 = LCM of 421 and 416

Related Least Common Multiples of 416

Related Least Common Multiples of 421

Frequently Asked Questions on LCM of 416 and 421

1. What is the LCM of 416 and 421?

Answer: LCM of 416 and 421 is 175136.

2. What are the Factors of 416?

Answer: Factors of 416 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416. There are 12 integers that are factors of 416. The greatest factor of 416 is 416.

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 416 and 421?

Answer:

Least Common Multiple of 416 and 421 = 175136

Step 1: Find the prime factorization of 416

416 = 2 x 2 x 2 x 2 x 2 x 13

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 = 175136 = 2 x 2 x 2 x 2 x 2 x 13 x 421

Step 4: Therefore, the least common multiple of 416 and 421 is 175136.