Least Common Multiple of 1612 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 1612 and 1618 the smallest integer that is 1304108 that is divisible by both numbers.

Least Common Multiple (LCM) of 1612 and 1618 is 1304108.

LCM(1612,1618) = 1304108

LCM of 1612 and 1618

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

LCM of:
and

Least Common Multiple of 1612 and 1618

LCM of 1612 and 1618 is 1304108

Least common multiple can be found by multiplying the highest exponent prime factors of 1612 and 1618. First we will calculate the prime factors of 1612 and 1618.

Prime Factorization of 1612


2 1612
2 806
13 403
31 31
1

Prime factors of 1612 are 2, 13,31. Prime factorization of 1612 in exponential form is:

1612 = 22×131×311

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 1612 and 1618.

LCM(1612,1618) = 22×131×311×8091
LCM(1612,1618) = 1304108

Factors of 1612

List of positive integer factors of 1612 that divides 1612 without a remainder.

1, 2, 4, 13, 26, 31, 52, 62, 124, 403, 806, 1612

Factors of 1618

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

1, 2, 809, 1618

Least Common Multiple of 1612 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 1612 and 1618, than apply into the LCM equation.

GCF(1612,1618) = 2
LCM(1612,1618) = ( 1612 × 1618) / 2
LCM(1612,1618) = 2608216 / 2
LCM(1612,1618) = 1304108

Properties of LCM 1612 and 1618

(i) The LCM of 1618 and 1612 is associative

LCM of 1612 and 1618 = LCM of 1618 and 1612

Related Least Common Multiples of 1612

Related Least Common Multiples of 1618

Frequently Asked Questions on LCM of 1612 and 1618

1. What is the LCM of 1612 and 1618?

Answer: LCM of 1612 and 1618 is 1304108.

2. What are the Factors of 1612?

Answer: Factors of 1612 are 1, 2, 4, 13, 26, 31, 52, 62, 124, 403, 806, 1612. There are 12 integers that are factors of 1612. The greatest factor of 1612 is 1612.

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 1612 and 1618?

Answer:

Least Common Multiple of 1612 and 1618 = 1304108

Step 1: Find the prime factorization of 1612

1612 = 2 x 2 x 13 x 31

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 = 1304108 = 2 x 2 x 13 x 31 x 809

Step 4: Therefore, the least common multiple of 1612 and 1618 is 1304108.