Least Common Multiple of 407 and 410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 407 and 410 the smallest integer that is 166870 that is divisible by both numbers.

Least Common Multiple (LCM) of 407 and 410 is 166870.

LCM(407,410) = 166870

LCM of 407 and 410

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

LCM of:
and

Least Common Multiple of 407 and 410

LCM of 407 and 410 is 166870

Least common multiple can be found by multiplying the highest exponent prime factors of 407 and 410. First we will calculate the prime factors of 407 and 410.

Prime Factorization of 407


11 407
37 37
1

Prime factors of 407 are 11,37. Prime factorization of 407 in exponential form is:

407 = 111×371

Prime Factorization of 410


2 410
5 205
41 41
1

Prime factors of 410 are 2, 5,41. Prime factorization of 410 in exponential form is:

410 = 21×51×411

Now multiplying the highest exponent prime factors to calculate the LCM of 407 and 410.

LCM(407,410) = 21×51×111×371×411
LCM(407,410) = 166870

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Least Common Multiple of 407 and 410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 407 and 410, than apply into the LCM equation.

GCF(407,410) = 1
LCM(407,410) = ( 407 × 410) / 1
LCM(407,410) = 166870 / 1
LCM(407,410) = 166870

Properties of LCM 407 and 410

(i) The LCM of 410 and 407 is associative

LCM of 407 and 410 = LCM of 410 and 407

Related Least Common Multiples of 407

Related Least Common Multiples of 410

Frequently Asked Questions on LCM of 407 and 410

1. What is the LCM of 407 and 410?

Answer: LCM of 407 and 410 is 166870.

2. What are the Factors of 407?

Answer: Factors of 407 are 1, 11, 37, 407. There are 4 integers that are factors of 407. The greatest factor of 407 is 407.

3. What are the Factors of 410?

Answer: Factors of 410 are 1, 2, 5, 10, 41, 82, 205, 410. There are 8 integers that are factors of 410. The greatest factor of 410 is 410.

4. How to Find the LCM of 407 and 410?

Answer:

Least Common Multiple of 407 and 410 = 166870

Step 1: Find the prime factorization of 407

407 = 11 x 37

Step 2: Find the prime factorization of 410

410 = 2 x 5 x 41

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

LCM = 166870 = 2 x 5 x 11 x 37 x 41

Step 4: Therefore, the least common multiple of 407 and 410 is 166870.