Least Common Multiple of 1492 and 1495

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1492 and 1495 the smallest integer that is 2230540 that is divisible by both numbers.

Least Common Multiple (LCM) of 1492 and 1495 is 2230540.

LCM(1492,1495) = 2230540

LCM of 1492 and 1495

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

LCM of:
and

Least Common Multiple of 1492 and 1495

LCM of 1492 and 1495 is 2230540

Least common multiple can be found by multiplying the highest exponent prime factors of 1492 and 1495. First we will calculate the prime factors of 1492 and 1495.

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

Prime Factorization of 1495


5 1495
13 299
23 23
1

Prime factors of 1495 are 5, 13,23. Prime factorization of 1495 in exponential form is:

1495 = 51×131×231

Now multiplying the highest exponent prime factors to calculate the LCM of 1492 and 1495.

LCM(1492,1495) = 22×51×131×231×3731
LCM(1492,1495) = 2230540

Factors of 1492

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

1, 2, 4, 373, 746, 1492

Factors of 1495

List of positive integer factors of 1495 that divides 1495 without a remainder.

1, 5, 13, 23, 65, 115, 299, 1495

Least Common Multiple of 1492 and 1495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1492 and 1495, than apply into the LCM equation.

GCF(1492,1495) = 1
LCM(1492,1495) = ( 1492 × 1495) / 1
LCM(1492,1495) = 2230540 / 1
LCM(1492,1495) = 2230540

Properties of LCM 1492 and 1495

(i) The LCM of 1495 and 1492 is associative

LCM of 1492 and 1495 = LCM of 1495 and 1492

Related Least Common Multiples of 1492

Related Least Common Multiples of 1495

Frequently Asked Questions on LCM of 1492 and 1495

1. What is the LCM of 1492 and 1495?

Answer: LCM of 1492 and 1495 is 2230540.

2. 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.

3. What are the Factors of 1495?

Answer: Factors of 1495 are 1, 5, 13, 23, 65, 115, 299, 1495. There are 8 integers that are factors of 1495. The greatest factor of 1495 is 1495.

4. How to Find the LCM of 1492 and 1495?

Answer:

Least Common Multiple of 1492 and 1495 = 2230540

Step 1: Find the prime factorization of 1492

1492 = 2 x 2 x 373

Step 2: Find the prime factorization of 1495

1495 = 5 x 13 x 23

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

LCM = 2230540 = 2 x 2 x 5 x 13 x 23 x 373

Step 4: Therefore, the least common multiple of 1492 and 1495 is 2230540.