Least Common Multiple of 1493 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 1493 and 1501 the smallest integer that is 2240993 that is divisible by both numbers.

Least Common Multiple (LCM) of 1493 and 1501 is 2240993.

LCM(1493,1501) = 2240993

LCM of 1493 and 1501

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

LCM of:
and

Least Common Multiple of 1493 and 1501

LCM of 1493 and 1501 is 2240993

Least common multiple can be found by multiplying the highest exponent prime factors of 1493 and 1501. First we will calculate the prime factors of 1493 and 1501.

Prime Factorization of 1493


1493 1493
1

Prime factors of 1493 are 1493. Prime factorization of 1493 in exponential form is:

1493 = 14931

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 1493 and 1501.

LCM(1493,1501) = 191×791×14931
LCM(1493,1501) = 2240993

Factors of 1493

List of positive integer factors of 1493 that divides 1493 without a remainder.

1, 1493

Factors of 1501

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

1, 19, 79, 1501

Least Common Multiple of 1493 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 1493 and 1501, than apply into the LCM equation.

GCF(1493,1501) = 1
LCM(1493,1501) = ( 1493 × 1501) / 1
LCM(1493,1501) = 2240993 / 1
LCM(1493,1501) = 2240993

Properties of LCM 1493 and 1501

(i) The LCM of 1501 and 1493 is associative

LCM of 1493 and 1501 = LCM of 1501 and 1493

Related Least Common Multiples of 1493

Related Least Common Multiples of 1501

Frequently Asked Questions on LCM of 1493 and 1501

1. What is the LCM of 1493 and 1501?

Answer: LCM of 1493 and 1501 is 2240993.

2. What are the Factors of 1493?

Answer: Factors of 1493 are 1, 1493. There are 2 integers that are factors of 1493. The greatest factor of 1493 is 1493.

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 1493 and 1501?

Answer:

Least Common Multiple of 1493 and 1501 = 2240993

Step 1: Find the prime factorization of 1493

1493 = 1493

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 = 2240993 = 19 x 79 x 1493

Step 4: Therefore, the least common multiple of 1493 and 1501 is 2240993.