Least Common Multiple of 1474 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 1474 and 1480 the smallest integer that is 1090760 that is divisible by both numbers.

Least Common Multiple (LCM) of 1474 and 1480 is 1090760.

LCM(1474,1480) = 1090760

LCM of 1474 and 1480

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

LCM of:
and

Least Common Multiple of 1474 and 1480

LCM of 1474 and 1480 is 1090760

Least common multiple can be found by multiplying the highest exponent prime factors of 1474 and 1480. First we will calculate the prime factors of 1474 and 1480.

Prime Factorization of 1474


2 1474
11 737
67 67
1

Prime factors of 1474 are 2, 11,67. Prime factorization of 1474 in exponential form is:

1474 = 21×111×671

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 1474 and 1480.

LCM(1474,1480) = 23×51×111×371×671
LCM(1474,1480) = 1090760

Factors of 1474

List of positive integer factors of 1474 that divides 1474 without a remainder.

1, 2, 11, 22, 67, 134, 737, 1474

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 1474 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 1474 and 1480, than apply into the LCM equation.

GCF(1474,1480) = 2
LCM(1474,1480) = ( 1474 × 1480) / 2
LCM(1474,1480) = 2181520 / 2
LCM(1474,1480) = 1090760

Properties of LCM 1474 and 1480

(i) The LCM of 1480 and 1474 is associative

LCM of 1474 and 1480 = LCM of 1480 and 1474

Related Least Common Multiples of 1474

Related Least Common Multiples of 1480

Frequently Asked Questions on LCM of 1474 and 1480

1. What is the LCM of 1474 and 1480?

Answer: LCM of 1474 and 1480 is 1090760.

2. What are the Factors of 1474?

Answer: Factors of 1474 are 1, 2, 11, 22, 67, 134, 737, 1474. There are 8 integers that are factors of 1474. The greatest factor of 1474 is 1474.

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 1474 and 1480?

Answer:

Least Common Multiple of 1474 and 1480 = 1090760

Step 1: Find the prime factorization of 1474

1474 = 2 x 11 x 67

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 = 1090760 = 2 x 2 x 2 x 5 x 11 x 37 x 67

Step 4: Therefore, the least common multiple of 1474 and 1480 is 1090760.