Least Common Multiple of 1490 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 1490 and 1495 the smallest integer that is 445510 that is divisible by both numbers.

Least Common Multiple (LCM) of 1490 and 1495 is 445510.

LCM(1490,1495) = 445510

LCM of 1490 and 1495

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

LCM of:
and

Least Common Multiple of 1490 and 1495

LCM of 1490 and 1495 is 445510

Least common multiple can be found by multiplying the highest exponent prime factors of 1490 and 1495. First we will calculate the prime factors of 1490 and 1495.

Prime Factorization of 1490


2 1490
5 745
149 149
1

Prime factors of 1490 are 2, 5,149. Prime factorization of 1490 in exponential form is:

1490 = 21×51×1491

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 1490 and 1495.

LCM(1490,1495) = 21×51×131×231×1491
LCM(1490,1495) = 445510

Factors of 1490

List of positive integer factors of 1490 that divides 1490 without a remainder.

1, 2, 5, 10, 149, 298, 745, 1490

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 1490 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 1490 and 1495, than apply into the LCM equation.

GCF(1490,1495) = 5
LCM(1490,1495) = ( 1490 × 1495) / 5
LCM(1490,1495) = 2227550 / 5
LCM(1490,1495) = 445510

Properties of LCM 1490 and 1495

(i) The LCM of 1495 and 1490 is associative

LCM of 1490 and 1495 = LCM of 1495 and 1490

Related Least Common Multiples of 1490

Related Least Common Multiples of 1495

Frequently Asked Questions on LCM of 1490 and 1495

1. What is the LCM of 1490 and 1495?

Answer: LCM of 1490 and 1495 is 445510.

2. What are the Factors of 1490?

Answer: Factors of 1490 are 1, 2, 5, 10, 149, 298, 745, 1490. There are 8 integers that are factors of 1490. The greatest factor of 1490 is 1490.

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 1490 and 1495?

Answer:

Least Common Multiple of 1490 and 1495 = 445510

Step 1: Find the prime factorization of 1490

1490 = 2 x 5 x 149

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 = 445510 = 2 x 5 x 13 x 23 x 149

Step 4: Therefore, the least common multiple of 1490 and 1495 is 445510.