Least Common Multiple of 1492 and 1494

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 1494 the smallest integer that is 1114524 that is divisible by both numbers.

Least Common Multiple (LCM) of 1492 and 1494 is 1114524.

LCM(1492,1494) = 1114524

LCM of 1492 and 1494

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

LCM of:
and

Least Common Multiple of 1492 and 1494

LCM of 1492 and 1494 is 1114524

Least common multiple can be found by multiplying the highest exponent prime factors of 1492 and 1494. First we will calculate the prime factors of 1492 and 1494.

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 1494


2 1494
3 747
3 249
83 83
1

Prime factors of 1494 are 2, 3,83. Prime factorization of 1494 in exponential form is:

1494 = 21×32×831

Now multiplying the highest exponent prime factors to calculate the LCM of 1492 and 1494.

LCM(1492,1494) = 22×32×831×3731
LCM(1492,1494) = 1114524

Factors of 1492

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

1, 2, 4, 373, 746, 1492

Factors of 1494

List of positive integer factors of 1494 that divides 1494 without a remainder.

1, 2, 3, 6, 9, 18, 83, 166, 249, 498, 747, 1494

Least Common Multiple of 1492 and 1494 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 1494, than apply into the LCM equation.

GCF(1492,1494) = 2
LCM(1492,1494) = ( 1492 × 1494) / 2
LCM(1492,1494) = 2229048 / 2
LCM(1492,1494) = 1114524

Properties of LCM 1492 and 1494

(i) The LCM of 1494 and 1492 is associative

LCM of 1492 and 1494 = LCM of 1494 and 1492

Related Least Common Multiples of 1492

Related Least Common Multiples of 1494

Frequently Asked Questions on LCM of 1492 and 1494

1. What is the LCM of 1492 and 1494?

Answer: LCM of 1492 and 1494 is 1114524.

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 1494?

Answer: Factors of 1494 are 1, 2, 3, 6, 9, 18, 83, 166, 249, 498, 747, 1494. There are 12 integers that are factors of 1494. The greatest factor of 1494 is 1494.

4. How to Find the LCM of 1492 and 1494?

Answer:

Least Common Multiple of 1492 and 1494 = 1114524

Step 1: Find the prime factorization of 1492

1492 = 2 x 2 x 373

Step 2: Find the prime factorization of 1494

1494 = 2 x 3 x 3 x 83

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

LCM = 1114524 = 2 x 2 x 3 x 3 x 83 x 373

Step 4: Therefore, the least common multiple of 1492 and 1494 is 1114524.