Least Common Multiple of 1415 and 1420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1415 and 1420 the smallest integer that is 401860 that is divisible by both numbers.

Least Common Multiple (LCM) of 1415 and 1420 is 401860.

LCM(1415,1420) = 401860

LCM of 1415 and 1420

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

LCM of:
and

Least Common Multiple of 1415 and 1420

LCM of 1415 and 1420 is 401860

Least common multiple can be found by multiplying the highest exponent prime factors of 1415 and 1420. First we will calculate the prime factors of 1415 and 1420.

Prime Factorization of 1415


5 1415
283 283
1

Prime factors of 1415 are 5,283. Prime factorization of 1415 in exponential form is:

1415 = 51×2831

Prime Factorization of 1420


2 1420
2 710
5 355
71 71
1

Prime factors of 1420 are 2, 5,71. Prime factorization of 1420 in exponential form is:

1420 = 22×51×711

Now multiplying the highest exponent prime factors to calculate the LCM of 1415 and 1420.

LCM(1415,1420) = 22×51×711×2831
LCM(1415,1420) = 401860

Factors of 1415

List of positive integer factors of 1415 that divides 1415 without a remainder.

1, 5, 283, 1415

Factors of 1420

List of positive integer factors of 1420 that divides 1420 without a remainder.

1, 2, 4, 5, 10, 20, 71, 142, 284, 355, 710, 1420

Least Common Multiple of 1415 and 1420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1415 and 1420, than apply into the LCM equation.

GCF(1415,1420) = 5
LCM(1415,1420) = ( 1415 × 1420) / 5
LCM(1415,1420) = 2009300 / 5
LCM(1415,1420) = 401860

Properties of LCM 1415 and 1420

(i) The LCM of 1420 and 1415 is associative

LCM of 1415 and 1420 = LCM of 1420 and 1415

Related Least Common Multiples of 1415

Related Least Common Multiples of 1420

Frequently Asked Questions on LCM of 1415 and 1420

1. What is the LCM of 1415 and 1420?

Answer: LCM of 1415 and 1420 is 401860.

2. What are the Factors of 1415?

Answer: Factors of 1415 are 1, 5, 283, 1415. There are 4 integers that are factors of 1415. The greatest factor of 1415 is 1415.

3. What are the Factors of 1420?

Answer: Factors of 1420 are 1, 2, 4, 5, 10, 20, 71, 142, 284, 355, 710, 1420. There are 12 integers that are factors of 1420. The greatest factor of 1420 is 1420.

4. How to Find the LCM of 1415 and 1420?

Answer:

Least Common Multiple of 1415 and 1420 = 401860

Step 1: Find the prime factorization of 1415

1415 = 5 x 283

Step 2: Find the prime factorization of 1420

1420 = 2 x 2 x 5 x 71

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

LCM = 401860 = 2 x 2 x 5 x 71 x 283

Step 4: Therefore, the least common multiple of 1415 and 1420 is 401860.