Least Common Multiple of 1488 and 1492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1488 and 1492 the smallest integer that is 555024 that is divisible by both numbers.

Least Common Multiple (LCM) of 1488 and 1492 is 555024.

LCM(1488,1492) = 555024

LCM of 1488 and 1492

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

LCM of:
and

Least Common Multiple of 1488 and 1492

LCM of 1488 and 1492 is 555024

Least common multiple can be found by multiplying the highest exponent prime factors of 1488 and 1492. First we will calculate the prime factors of 1488 and 1492.

Prime Factorization of 1488


2 1488
2 744
2 372
2 186
3 93
31 31
1

Prime factors of 1488 are 2, 3,31. Prime factorization of 1488 in exponential form is:

1488 = 24×31×311

Prime Factorization of 1492


2 1492
2 746
373 373
1

Prime factors of 1492 are 2,373. Prime factorization of 1492 in exponential form is:

1492 = 22×3731

Now multiplying the highest exponent prime factors to calculate the LCM of 1488 and 1492.

LCM(1488,1492) = 24×31×311×3731
LCM(1488,1492) = 555024

Factors of 1488

List of positive integer factors of 1488 that divides 1488 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 48, 62, 93, 124, 186, 248, 372, 496, 744, 1488

Factors of 1492

List of positive integer factors of 1492 that divides 1492 without a remainder.

1, 2, 4, 373, 746, 1492

Least Common Multiple of 1488 and 1492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1488 and 1492, than apply into the LCM equation.

GCF(1488,1492) = 4
LCM(1488,1492) = ( 1488 × 1492) / 4
LCM(1488,1492) = 2220096 / 4
LCM(1488,1492) = 555024

Properties of LCM 1488 and 1492

(i) The LCM of 1492 and 1488 is associative

LCM of 1488 and 1492 = LCM of 1492 and 1488

Related Least Common Multiples of 1488

Related Least Common Multiples of 1492

Frequently Asked Questions on LCM of 1488 and 1492

1. What is the LCM of 1488 and 1492?

Answer: LCM of 1488 and 1492 is 555024.

2. What are the Factors of 1488?

Answer: Factors of 1488 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 48, 62, 93, 124, 186, 248, 372, 496, 744, 1488. There are 20 integers that are factors of 1488. The greatest factor of 1488 is 1488.

3. What are the Factors of 1492?

Answer: Factors of 1492 are 1, 2, 4, 373, 746, 1492. There are 6 integers that are factors of 1492. The greatest factor of 1492 is 1492.

4. How to Find the LCM of 1488 and 1492?

Answer:

Least Common Multiple of 1488 and 1492 = 555024

Step 1: Find the prime factorization of 1488

1488 = 2 x 2 x 2 x 2 x 3 x 31

Step 2: Find the prime factorization of 1492

1492 = 2 x 2 x 373

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

LCM = 555024 = 2 x 2 x 2 x 2 x 3 x 31 x 373

Step 4: Therefore, the least common multiple of 1488 and 1492 is 555024.