Least Common Multiple of 607 and 613

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 607 and 613 the smallest integer that is 372091 that is divisible by both numbers.

Least Common Multiple (LCM) of 607 and 613 is 372091.

LCM(607,613) = 372091

LCM of 607 and 613

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

LCM of:
and

Least Common Multiple of 607 and 613

LCM of 607 and 613 is 372091

Least common multiple can be found by multiplying the highest exponent prime factors of 607 and 613. First we will calculate the prime factors of 607 and 613.

Prime Factorization of 607


607 607
1

Prime factors of 607 are 607. Prime factorization of 607 in exponential form is:

607 = 6071

Prime Factorization of 613


613 613
1

Prime factors of 613 are 613. Prime factorization of 613 in exponential form is:

613 = 6131

Now multiplying the highest exponent prime factors to calculate the LCM of 607 and 613.

LCM(607,613) = 6071×6131
LCM(607,613) = 372091

Factors of 607

List of positive integer factors of 607 that divides 607 without a remainder.

1, 607

Factors of 613

List of positive integer factors of 613 that divides 613 without a remainder.

1, 613

Least Common Multiple of 607 and 613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 607 and 613, than apply into the LCM equation.

GCF(607,613) = 1
LCM(607,613) = ( 607 × 613) / 1
LCM(607,613) = 372091 / 1
LCM(607,613) = 372091

Properties of LCM 607 and 613

(i) The LCM of 613 and 607 is associative

LCM of 607 and 613 = LCM of 613 and 607

Related Least Common Multiples of 607

Related Least Common Multiples of 613

Frequently Asked Questions on LCM of 607 and 613

1. What is the LCM of 607 and 613?

Answer: LCM of 607 and 613 is 372091.

2. What are the Factors of 607?

Answer: Factors of 607 are 1, 607. There are 2 integers that are factors of 607. The greatest factor of 607 is 607.

3. What are the Factors of 613?

Answer: Factors of 613 are 1, 613. There are 2 integers that are factors of 613. The greatest factor of 613 is 613.

4. How to Find the LCM of 607 and 613?

Answer:

Least Common Multiple of 607 and 613 = 372091

Step 1: Find the prime factorization of 607

607 = 607

Step 2: Find the prime factorization of 613

613 = 613

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

LCM = 372091 = 607 x 613

Step 4: Therefore, the least common multiple of 607 and 613 is 372091.