Least Common Multiple of 607 and 614

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 614 the smallest integer that is 372698 that is divisible by both numbers.

Least Common Multiple (LCM) of 607 and 614 is 372698.

LCM(607,614) = 372698

LCM of 607 and 614

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

LCM of:
and

Least Common Multiple of 607 and 614

LCM of 607 and 614 is 372698

Least common multiple can be found by multiplying the highest exponent prime factors of 607 and 614. First we will calculate the prime factors of 607 and 614.

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 614


2 614
307 307
1

Prime factors of 614 are 2,307. Prime factorization of 614 in exponential form is:

614 = 21×3071

Now multiplying the highest exponent prime factors to calculate the LCM of 607 and 614.

LCM(607,614) = 21×3071×6071
LCM(607,614) = 372698

Factors of 607

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

1, 607

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Least Common Multiple of 607 and 614 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 614, than apply into the LCM equation.

GCF(607,614) = 1
LCM(607,614) = ( 607 × 614) / 1
LCM(607,614) = 372698 / 1
LCM(607,614) = 372698

Properties of LCM 607 and 614

(i) The LCM of 614 and 607 is associative

LCM of 607 and 614 = LCM of 614 and 607

Related Least Common Multiples of 607

Related Least Common Multiples of 614

Frequently Asked Questions on LCM of 607 and 614

1. What is the LCM of 607 and 614?

Answer: LCM of 607 and 614 is 372698.

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 614?

Answer: Factors of 614 are 1, 2, 307, 614. There are 4 integers that are factors of 614. The greatest factor of 614 is 614.

4. How to Find the LCM of 607 and 614?

Answer:

Least Common Multiple of 607 and 614 = 372698

Step 1: Find the prime factorization of 607

607 = 607

Step 2: Find the prime factorization of 614

614 = 2 x 307

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

LCM = 372698 = 2 x 307 x 607

Step 4: Therefore, the least common multiple of 607 and 614 is 372698.