Least Common Multiple of 1610 and 1618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1610 and 1618 the smallest integer that is 1302490 that is divisible by both numbers.

Least Common Multiple (LCM) of 1610 and 1618 is 1302490.

LCM(1610,1618) = 1302490

LCM of 1610 and 1618

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

LCM of:
and

Least Common Multiple of 1610 and 1618

LCM of 1610 and 1618 is 1302490

Least common multiple can be found by multiplying the highest exponent prime factors of 1610 and 1618. First we will calculate the prime factors of 1610 and 1618.

Prime Factorization of 1610


2 1610
5 805
7 161
23 23
1

Prime factors of 1610 are 2, 5, 7,23. Prime factorization of 1610 in exponential form is:

1610 = 21×51×71×231

Prime Factorization of 1618


2 1618
809 809
1

Prime factors of 1618 are 2,809. Prime factorization of 1618 in exponential form is:

1618 = 21×8091

Now multiplying the highest exponent prime factors to calculate the LCM of 1610 and 1618.

LCM(1610,1618) = 21×51×71×231×8091
LCM(1610,1618) = 1302490

Factors of 1610

List of positive integer factors of 1610 that divides 1610 without a remainder.

1, 2, 5, 7, 10, 14, 23, 35, 46, 70, 115, 161, 230, 322, 805, 1610

Factors of 1618

List of positive integer factors of 1618 that divides 1618 without a remainder.

1, 2, 809, 1618

Least Common Multiple of 1610 and 1618 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1610 and 1618, than apply into the LCM equation.

GCF(1610,1618) = 2
LCM(1610,1618) = ( 1610 × 1618) / 2
LCM(1610,1618) = 2604980 / 2
LCM(1610,1618) = 1302490

Properties of LCM 1610 and 1618

(i) The LCM of 1618 and 1610 is associative

LCM of 1610 and 1618 = LCM of 1618 and 1610

Related Least Common Multiples of 1610

Related Least Common Multiples of 1618

Frequently Asked Questions on LCM of 1610 and 1618

1. What is the LCM of 1610 and 1618?

Answer: LCM of 1610 and 1618 is 1302490.

2. What are the Factors of 1610?

Answer: Factors of 1610 are 1, 2, 5, 7, 10, 14, 23, 35, 46, 70, 115, 161, 230, 322, 805, 1610. There are 16 integers that are factors of 1610. The greatest factor of 1610 is 1610.

3. What are the Factors of 1618?

Answer: Factors of 1618 are 1, 2, 809, 1618. There are 4 integers that are factors of 1618. The greatest factor of 1618 is 1618.

4. How to Find the LCM of 1610 and 1618?

Answer:

Least Common Multiple of 1610 and 1618 = 1302490

Step 1: Find the prime factorization of 1610

1610 = 2 x 5 x 7 x 23

Step 2: Find the prime factorization of 1618

1618 = 2 x 809

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

LCM = 1302490 = 2 x 5 x 7 x 23 x 809

Step 4: Therefore, the least common multiple of 1610 and 1618 is 1302490.