Least Common Multiple of 411 and 414

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 414 the smallest integer that is 56718 that is divisible by both numbers.

Least Common Multiple (LCM) of 411 and 414 is 56718.

LCM(411,414) = 56718

LCM of 411 and 414

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

LCM of:
and

Least Common Multiple of 411 and 414

LCM of 411 and 414 is 56718

Least common multiple can be found by multiplying the highest exponent prime factors of 411 and 414. First we will calculate the prime factors of 411 and 414.

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 414


2 414
3 207
3 69
23 23
1

Prime factors of 414 are 2, 3,23. Prime factorization of 414 in exponential form is:

414 = 21×32×231

Now multiplying the highest exponent prime factors to calculate the LCM of 411 and 414.

LCM(411,414) = 21×32×231×1371
LCM(411,414) = 56718

Factors of 411

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

1, 3, 137, 411

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Least Common Multiple of 411 and 414 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 414, than apply into the LCM equation.

GCF(411,414) = 3
LCM(411,414) = ( 411 × 414) / 3
LCM(411,414) = 170154 / 3
LCM(411,414) = 56718

Properties of LCM 411 and 414

(i) The LCM of 414 and 411 is associative

LCM of 411 and 414 = LCM of 414 and 411

Related Least Common Multiples of 411

Related Least Common Multiples of 414

Frequently Asked Questions on LCM of 411 and 414

1. What is the LCM of 411 and 414?

Answer: LCM of 411 and 414 is 56718.

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 414?

Answer: Factors of 414 are 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414. There are 12 integers that are factors of 414. The greatest factor of 414 is 414.

4. How to Find the LCM of 411 and 414?

Answer:

Least Common Multiple of 411 and 414 = 56718

Step 1: Find the prime factorization of 411

411 = 3 x 137

Step 2: Find the prime factorization of 414

414 = 2 x 3 x 3 x 23

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

LCM = 56718 = 2 x 3 x 3 x 23 x 137

Step 4: Therefore, the least common multiple of 411 and 414 is 56718.