Least Common Multiple of 1496 and 1501

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1496 and 1501 the smallest integer that is 2245496 that is divisible by both numbers.

Least Common Multiple (LCM) of 1496 and 1501 is 2245496.

LCM(1496,1501) = 2245496

LCM of 1496 and 1501

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

LCM of:
and

Least Common Multiple of 1496 and 1501

LCM of 1496 and 1501 is 2245496

Least common multiple can be found by multiplying the highest exponent prime factors of 1496 and 1501. First we will calculate the prime factors of 1496 and 1501.

Prime Factorization of 1496


2 1496
2 748
2 374
11 187
17 17
1

Prime factors of 1496 are 2, 11,17. Prime factorization of 1496 in exponential form is:

1496 = 23×111×171

Prime Factorization of 1501


19 1501
79 79
1

Prime factors of 1501 are 19,79. Prime factorization of 1501 in exponential form is:

1501 = 191×791

Now multiplying the highest exponent prime factors to calculate the LCM of 1496 and 1501.

LCM(1496,1501) = 23×111×171×191×791
LCM(1496,1501) = 2245496

Factors of 1496

List of positive integer factors of 1496 that divides 1496 without a remainder.

1, 2, 4, 8, 11, 17, 22, 34, 44, 68, 88, 136, 187, 374, 748, 1496

Factors of 1501

List of positive integer factors of 1501 that divides 1501 without a remainder.

1, 19, 79, 1501

Least Common Multiple of 1496 and 1501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1496 and 1501, than apply into the LCM equation.

GCF(1496,1501) = 1
LCM(1496,1501) = ( 1496 × 1501) / 1
LCM(1496,1501) = 2245496 / 1
LCM(1496,1501) = 2245496

Properties of LCM 1496 and 1501

(i) The LCM of 1501 and 1496 is associative

LCM of 1496 and 1501 = LCM of 1501 and 1496

Related Least Common Multiples of 1496

Related Least Common Multiples of 1501

Frequently Asked Questions on LCM of 1496 and 1501

1. What is the LCM of 1496 and 1501?

Answer: LCM of 1496 and 1501 is 2245496.

2. What are the Factors of 1496?

Answer: Factors of 1496 are 1, 2, 4, 8, 11, 17, 22, 34, 44, 68, 88, 136, 187, 374, 748, 1496. There are 16 integers that are factors of 1496. The greatest factor of 1496 is 1496.

3. What are the Factors of 1501?

Answer: Factors of 1501 are 1, 19, 79, 1501. There are 4 integers that are factors of 1501. The greatest factor of 1501 is 1501.

4. How to Find the LCM of 1496 and 1501?

Answer:

Least Common Multiple of 1496 and 1501 = 2245496

Step 1: Find the prime factorization of 1496

1496 = 2 x 2 x 2 x 11 x 17

Step 2: Find the prime factorization of 1501

1501 = 19 x 79

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

LCM = 2245496 = 2 x 2 x 2 x 11 x 17 x 19 x 79

Step 4: Therefore, the least common multiple of 1496 and 1501 is 2245496.