Least Common Multiple of 1476 and 1480

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 1480 the smallest integer that is 546120 that is divisible by both numbers.

Least Common Multiple (LCM) of 1476 and 1480 is 546120.

LCM(1476,1480) = 546120

LCM of 1476 and 1480

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

LCM of:
and

Least Common Multiple of 1476 and 1480

LCM of 1476 and 1480 is 546120

Least common multiple can be found by multiplying the highest exponent prime factors of 1476 and 1480. First we will calculate the prime factors of 1476 and 1480.

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 1480


2 1480
2 740
2 370
5 185
37 37
1

Prime factors of 1480 are 2, 5,37. Prime factorization of 1480 in exponential form is:

1480 = 23×51×371

Now multiplying the highest exponent prime factors to calculate the LCM of 1476 and 1480.

LCM(1476,1480) = 23×32×51×371×411
LCM(1476,1480) = 546120

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 1480

List of positive integer factors of 1480 that divides 1480 without a remainder.

1, 2, 4, 5, 8, 10, 20, 37, 40, 74, 148, 185, 296, 370, 740, 1480

Least Common Multiple of 1476 and 1480 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 1480, than apply into the LCM equation.

GCF(1476,1480) = 4
LCM(1476,1480) = ( 1476 × 1480) / 4
LCM(1476,1480) = 2184480 / 4
LCM(1476,1480) = 546120

Properties of LCM 1476 and 1480

(i) The LCM of 1480 and 1476 is associative

LCM of 1476 and 1480 = LCM of 1480 and 1476

Related Least Common Multiples of 1476

Related Least Common Multiples of 1480

Frequently Asked Questions on LCM of 1476 and 1480

1. What is the LCM of 1476 and 1480?

Answer: LCM of 1476 and 1480 is 546120.

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 1480?

Answer: Factors of 1480 are 1, 2, 4, 5, 8, 10, 20, 37, 40, 74, 148, 185, 296, 370, 740, 1480. There are 16 integers that are factors of 1480. The greatest factor of 1480 is 1480.

4. How to Find the LCM of 1476 and 1480?

Answer:

Least Common Multiple of 1476 and 1480 = 546120

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 1480

1480 = 2 x 2 x 2 x 5 x 37

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

LCM = 546120 = 2 x 2 x 2 x 3 x 3 x 5 x 37 x 41

Step 4: Therefore, the least common multiple of 1476 and 1480 is 546120.