Least Common Multiple of 1607 and 1614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1607 and 1614 the smallest integer that is 2593698 that is divisible by both numbers.

Least Common Multiple (LCM) of 1607 and 1614 is 2593698.

LCM(1607,1614) = 2593698

LCM of 1607 and 1614

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

LCM of:
and

Least Common Multiple of 1607 and 1614

LCM of 1607 and 1614 is 2593698

Least common multiple can be found by multiplying the highest exponent prime factors of 1607 and 1614. First we will calculate the prime factors of 1607 and 1614.

Prime Factorization of 1607


1607 1607
1

Prime factors of 1607 are 1607. Prime factorization of 1607 in exponential form is:

1607 = 16071

Prime Factorization of 1614


2 1614
3 807
269 269
1

Prime factors of 1614 are 2, 3,269. Prime factorization of 1614 in exponential form is:

1614 = 21×31×2691

Now multiplying the highest exponent prime factors to calculate the LCM of 1607 and 1614.

LCM(1607,1614) = 21×31×2691×16071
LCM(1607,1614) = 2593698

Factors of 1607

List of positive integer factors of 1607 that divides 1607 without a remainder.

1, 1607

Factors of 1614

List of positive integer factors of 1614 that divides 1614 without a remainder.

1, 2, 3, 6, 269, 538, 807, 1614

Least Common Multiple of 1607 and 1614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1607 and 1614, than apply into the LCM equation.

GCF(1607,1614) = 1
LCM(1607,1614) = ( 1607 × 1614) / 1
LCM(1607,1614) = 2593698 / 1
LCM(1607,1614) = 2593698

Properties of LCM 1607 and 1614

(i) The LCM of 1614 and 1607 is associative

LCM of 1607 and 1614 = LCM of 1614 and 1607

Related Least Common Multiples of 1607

Related Least Common Multiples of 1614

Frequently Asked Questions on LCM of 1607 and 1614

1. What is the LCM of 1607 and 1614?

Answer: LCM of 1607 and 1614 is 2593698.

2. What are the Factors of 1607?

Answer: Factors of 1607 are 1, 1607. There are 2 integers that are factors of 1607. The greatest factor of 1607 is 1607.

3. What are the Factors of 1614?

Answer: Factors of 1614 are 1, 2, 3, 6, 269, 538, 807, 1614. There are 8 integers that are factors of 1614. The greatest factor of 1614 is 1614.

4. How to Find the LCM of 1607 and 1614?

Answer:

Least Common Multiple of 1607 and 1614 = 2593698

Step 1: Find the prime factorization of 1607

1607 = 1607

Step 2: Find the prime factorization of 1614

1614 = 2 x 3 x 269

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

LCM = 2593698 = 2 x 3 x 269 x 1607

Step 4: Therefore, the least common multiple of 1607 and 1614 is 2593698.