Least Common Multiple of 1607 and 1613

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 1613 the smallest integer that is 2592091 that is divisible by both numbers.

Least Common Multiple (LCM) of 1607 and 1613 is 2592091.

LCM(1607,1613) = 2592091

LCM of 1607 and 1613

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

LCM of:
and

Least Common Multiple of 1607 and 1613

LCM of 1607 and 1613 is 2592091

Least common multiple can be found by multiplying the highest exponent prime factors of 1607 and 1613. First we will calculate the prime factors of 1607 and 1613.

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 1613


1613 1613
1

Prime factors of 1613 are 1613. Prime factorization of 1613 in exponential form is:

1613 = 16131

Now multiplying the highest exponent prime factors to calculate the LCM of 1607 and 1613.

LCM(1607,1613) = 16071×16131
LCM(1607,1613) = 2592091

Factors of 1607

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

1, 1607

Factors of 1613

List of positive integer factors of 1613 that divides 1613 without a remainder.

1, 1613

Least Common Multiple of 1607 and 1613 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 1613, than apply into the LCM equation.

GCF(1607,1613) = 1
LCM(1607,1613) = ( 1607 × 1613) / 1
LCM(1607,1613) = 2592091 / 1
LCM(1607,1613) = 2592091

Properties of LCM 1607 and 1613

(i) The LCM of 1613 and 1607 is associative

LCM of 1607 and 1613 = LCM of 1613 and 1607

Related Least Common Multiples of 1607

Related Least Common Multiples of 1613

Frequently Asked Questions on LCM of 1607 and 1613

1. What is the LCM of 1607 and 1613?

Answer: LCM of 1607 and 1613 is 2592091.

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 1613?

Answer: Factors of 1613 are 1, 1613. There are 2 integers that are factors of 1613. The greatest factor of 1613 is 1613.

4. How to Find the LCM of 1607 and 1613?

Answer:

Least Common Multiple of 1607 and 1613 = 2592091

Step 1: Find the prime factorization of 1607

1607 = 1607

Step 2: Find the prime factorization of 1613

1613 = 1613

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

LCM = 2592091 = 1607 x 1613

Step 4: Therefore, the least common multiple of 1607 and 1613 is 2592091.