Least Common Multiple of 1472 and 1478

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1472 and 1478 the smallest integer that is 1087808 that is divisible by both numbers.

Least Common Multiple (LCM) of 1472 and 1478 is 1087808.

LCM(1472,1478) = 1087808

LCM of 1472 and 1478

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

LCM of:
and

Least Common Multiple of 1472 and 1478

LCM of 1472 and 1478 is 1087808

Least common multiple can be found by multiplying the highest exponent prime factors of 1472 and 1478. First we will calculate the prime factors of 1472 and 1478.

Prime Factorization of 1472


2 1472
2 736
2 368
2 184
2 92
2 46
23 23
1

Prime factors of 1472 are 2,23. Prime factorization of 1472 in exponential form is:

1472 = 26×231

Prime Factorization of 1478


2 1478
739 739
1

Prime factors of 1478 are 2,739. Prime factorization of 1478 in exponential form is:

1478 = 21×7391

Now multiplying the highest exponent prime factors to calculate the LCM of 1472 and 1478.

LCM(1472,1478) = 26×231×7391
LCM(1472,1478) = 1087808

Factors of 1472

List of positive integer factors of 1472 that divides 1472 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 184, 368, 736, 1472

Factors of 1478

List of positive integer factors of 1478 that divides 1478 without a remainder.

1, 2, 739, 1478

Least Common Multiple of 1472 and 1478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1472 and 1478, than apply into the LCM equation.

GCF(1472,1478) = 2
LCM(1472,1478) = ( 1472 × 1478) / 2
LCM(1472,1478) = 2175616 / 2
LCM(1472,1478) = 1087808

Properties of LCM 1472 and 1478

(i) The LCM of 1478 and 1472 is associative

LCM of 1472 and 1478 = LCM of 1478 and 1472

Related Least Common Multiples of 1472

Related Least Common Multiples of 1478

Frequently Asked Questions on LCM of 1472 and 1478

1. What is the LCM of 1472 and 1478?

Answer: LCM of 1472 and 1478 is 1087808.

2. What are the Factors of 1472?

Answer: Factors of 1472 are 1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 184, 368, 736, 1472. There are 14 integers that are factors of 1472. The greatest factor of 1472 is 1472.

3. What are the Factors of 1478?

Answer: Factors of 1478 are 1, 2, 739, 1478. There are 4 integers that are factors of 1478. The greatest factor of 1478 is 1478.

4. How to Find the LCM of 1472 and 1478?

Answer:

Least Common Multiple of 1472 and 1478 = 1087808

Step 1: Find the prime factorization of 1472

1472 = 2 x 2 x 2 x 2 x 2 x 2 x 23

Step 2: Find the prime factorization of 1478

1478 = 2 x 739

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

LCM = 1087808 = 2 x 2 x 2 x 2 x 2 x 2 x 23 x 739

Step 4: Therefore, the least common multiple of 1472 and 1478 is 1087808.