Least Common Multiple of 607 and 611

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 611 the smallest integer that is 370877 that is divisible by both numbers.

Least Common Multiple (LCM) of 607 and 611 is 370877.

LCM(607,611) = 370877

LCM of 607 and 611

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

LCM of:
and

Least Common Multiple of 607 and 611

LCM of 607 and 611 is 370877

Least common multiple can be found by multiplying the highest exponent prime factors of 607 and 611. First we will calculate the prime factors of 607 and 611.

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 611


13 611
47 47
1

Prime factors of 611 are 13,47. Prime factorization of 611 in exponential form is:

611 = 131×471

Now multiplying the highest exponent prime factors to calculate the LCM of 607 and 611.

LCM(607,611) = 131×471×6071
LCM(607,611) = 370877

Factors of 607

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

1, 607

Factors of 611

List of positive integer factors of 611 that divides 611 without a remainder.

1, 13, 47, 611

Least Common Multiple of 607 and 611 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 611, than apply into the LCM equation.

GCF(607,611) = 1
LCM(607,611) = ( 607 × 611) / 1
LCM(607,611) = 370877 / 1
LCM(607,611) = 370877

Properties of LCM 607 and 611

(i) The LCM of 611 and 607 is associative

LCM of 607 and 611 = LCM of 611 and 607

Frequently Asked Questions on LCM of 607 and 611

1. What is the LCM of 607 and 611?

Answer: LCM of 607 and 611 is 370877.

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 611?

Answer: Factors of 611 are 1, 13, 47, 611. There are 4 integers that are factors of 611. The greatest factor of 611 is 611.

4. How to Find the LCM of 607 and 611?

Answer:

Least Common Multiple of 607 and 611 = 370877

Step 1: Find the prime factorization of 607

607 = 607

Step 2: Find the prime factorization of 611

611 = 13 x 47

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

LCM = 370877 = 13 x 47 x 607

Step 4: Therefore, the least common multiple of 607 and 611 is 370877.