Least Common Multiple of 1476 and 1483

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 1483 the smallest integer that is 2188908 that is divisible by both numbers.

Least Common Multiple (LCM) of 1476 and 1483 is 2188908.

LCM(1476,1483) = 2188908

LCM of 1476 and 1483

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

LCM of:
and

Least Common Multiple of 1476 and 1483

LCM of 1476 and 1483 is 2188908

Least common multiple can be found by multiplying the highest exponent prime factors of 1476 and 1483. First we will calculate the prime factors of 1476 and 1483.

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 1483


1483 1483
1

Prime factors of 1483 are 1483. Prime factorization of 1483 in exponential form is:

1483 = 14831

Now multiplying the highest exponent prime factors to calculate the LCM of 1476 and 1483.

LCM(1476,1483) = 22×32×411×14831
LCM(1476,1483) = 2188908

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 1483

List of positive integer factors of 1483 that divides 1483 without a remainder.

1, 1483

Least Common Multiple of 1476 and 1483 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 1483, than apply into the LCM equation.

GCF(1476,1483) = 1
LCM(1476,1483) = ( 1476 × 1483) / 1
LCM(1476,1483) = 2188908 / 1
LCM(1476,1483) = 2188908

Properties of LCM 1476 and 1483

(i) The LCM of 1483 and 1476 is associative

LCM of 1476 and 1483 = LCM of 1483 and 1476

Related Least Common Multiples of 1476

Related Least Common Multiples of 1483

Frequently Asked Questions on LCM of 1476 and 1483

1. What is the LCM of 1476 and 1483?

Answer: LCM of 1476 and 1483 is 2188908.

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 1483?

Answer: Factors of 1483 are 1, 1483. There are 2 integers that are factors of 1483. The greatest factor of 1483 is 1483.

4. How to Find the LCM of 1476 and 1483?

Answer:

Least Common Multiple of 1476 and 1483 = 2188908

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 1483

1483 = 1483

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

LCM = 2188908 = 2 x 2 x 3 x 3 x 41 x 1483

Step 4: Therefore, the least common multiple of 1476 and 1483 is 2188908.