Least Common Multiple of 411 and 416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 411 and 416 the smallest integer that is 170976 that is divisible by both numbers.

Least Common Multiple (LCM) of 411 and 416 is 170976.

LCM(411,416) = 170976

LCM of 411 and 416

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

LCM of:
and

Least Common Multiple of 411 and 416

LCM of 411 and 416 is 170976

Least common multiple can be found by multiplying the highest exponent prime factors of 411 and 416. First we will calculate the prime factors of 411 and 416.

Prime Factorization of 411


3 411
137 137
1

Prime factors of 411 are 3,137. Prime factorization of 411 in exponential form is:

411 = 31×1371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 411 and 416.

LCM(411,416) = 25×31×131×1371
LCM(411,416) = 170976

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1, 3, 137, 411

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

Least Common Multiple of 411 and 416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 411 and 416, than apply into the LCM equation.

GCF(411,416) = 1
LCM(411,416) = ( 411 × 416) / 1
LCM(411,416) = 170976 / 1
LCM(411,416) = 170976

Properties of LCM 411 and 416

(i) The LCM of 416 and 411 is associative

LCM of 411 and 416 = LCM of 416 and 411

Related Least Common Multiples of 411

Related Least Common Multiples of 416

Frequently Asked Questions on LCM of 411 and 416

1. What is the LCM of 411 and 416?

Answer: LCM of 411 and 416 is 170976.

2. What are the Factors of 411?

Answer: Factors of 411 are 1, 3, 137, 411. There are 4 integers that are factors of 411. The greatest factor of 411 is 411.

3. 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.

4. How to Find the LCM of 411 and 416?

Answer:

Least Common Multiple of 411 and 416 = 170976

Step 1: Find the prime factorization of 411

411 = 3 x 137

Step 2: Find the prime factorization of 416

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

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

LCM = 170976 = 2 x 2 x 2 x 2 x 2 x 3 x 13 x 137

Step 4: Therefore, the least common multiple of 411 and 416 is 170976.