Least Common Multiple of 1476 and 1481

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1476 and 1481 the smallest integer that is 2185956 that is divisible by both numbers.

Least Common Multiple (LCM) of 1476 and 1481 is 2185956.

LCM(1476,1481) = 2185956

LCM of 1476 and 1481

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

LCM of:
and

Least Common Multiple of 1476 and 1481

LCM of 1476 and 1481 is 2185956

Least common multiple can be found by multiplying the highest exponent prime factors of 1476 and 1481. First we will calculate the prime factors of 1476 and 1481.

Prime Factorization of 1476


2 1476
2 738
3 369
3 123
41 41
1

Prime factors of 1476 are 2, 3,41. Prime factorization of 1476 in exponential form is:

1476 = 22×32×411

Prime Factorization of 1481


1481 1481
1

Prime factors of 1481 are 1481. Prime factorization of 1481 in exponential form is:

1481 = 14811

Now multiplying the highest exponent prime factors to calculate the LCM of 1476 and 1481.

LCM(1476,1481) = 22×32×411×14811
LCM(1476,1481) = 2185956

Factors of 1476

List of positive integer factors of 1476 that divides 1476 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 41, 82, 123, 164, 246, 369, 492, 738, 1476

Factors of 1481

List of positive integer factors of 1481 that divides 1481 without a remainder.

1, 1481

Least Common Multiple of 1476 and 1481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1476 and 1481, than apply into the LCM equation.

GCF(1476,1481) = 1
LCM(1476,1481) = ( 1476 × 1481) / 1
LCM(1476,1481) = 2185956 / 1
LCM(1476,1481) = 2185956

Properties of LCM 1476 and 1481

(i) The LCM of 1481 and 1476 is associative

LCM of 1476 and 1481 = LCM of 1481 and 1476

Related Least Common Multiples of 1476

Related Least Common Multiples of 1481

Frequently Asked Questions on LCM of 1476 and 1481

1. What is the LCM of 1476 and 1481?

Answer: LCM of 1476 and 1481 is 2185956.

2. What are the Factors of 1476?

Answer: Factors of 1476 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 41, 82, 123, 164, 246, 369, 492, 738, 1476. There are 18 integers that are factors of 1476. The greatest factor of 1476 is 1476.

3. What are the Factors of 1481?

Answer: Factors of 1481 are 1, 1481. There are 2 integers that are factors of 1481. The greatest factor of 1481 is 1481.

4. How to Find the LCM of 1476 and 1481?

Answer:

Least Common Multiple of 1476 and 1481 = 2185956

Step 1: Find the prime factorization of 1476

1476 = 2 x 2 x 3 x 3 x 41

Step 2: Find the prime factorization of 1481

1481 = 1481

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

LCM = 2185956 = 2 x 2 x 3 x 3 x 41 x 1481

Step 4: Therefore, the least common multiple of 1476 and 1481 is 2185956.