Least Common Multiple of 614 and 617

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 614 and 617 the smallest integer that is 378838 that is divisible by both numbers.

Least Common Multiple (LCM) of 614 and 617 is 378838.

LCM(614,617) = 378838

LCM of 614 and 617

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

LCM of:
and

Least Common Multiple of 614 and 617

LCM of 614 and 617 is 378838

Least common multiple can be found by multiplying the highest exponent prime factors of 614 and 617. First we will calculate the prime factors of 614 and 617.

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

Prime Factorization of 617


617 617
1

Prime factors of 617 are 617. Prime factorization of 617 in exponential form is:

617 = 6171

Now multiplying the highest exponent prime factors to calculate the LCM of 614 and 617.

LCM(614,617) = 21×3071×6171
LCM(614,617) = 378838

Factors of 614

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

1, 2, 307, 614

Factors of 617

List of positive integer factors of 617 that divides 617 without a remainder.

1, 617

Least Common Multiple of 614 and 617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 614 and 617, than apply into the LCM equation.

GCF(614,617) = 1
LCM(614,617) = ( 614 × 617) / 1
LCM(614,617) = 378838 / 1
LCM(614,617) = 378838

Properties of LCM 614 and 617

(i) The LCM of 617 and 614 is associative

LCM of 614 and 617 = LCM of 617 and 614

Related Least Common Multiples of 614

Related Least Common Multiples of 617

Frequently Asked Questions on LCM of 614 and 617

1. What is the LCM of 614 and 617?

Answer: LCM of 614 and 617 is 378838.

2. 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.

3. What are the Factors of 617?

Answer: Factors of 617 are 1, 617. There are 2 integers that are factors of 617. The greatest factor of 617 is 617.

4. How to Find the LCM of 614 and 617?

Answer:

Least Common Multiple of 614 and 617 = 378838

Step 1: Find the prime factorization of 614

614 = 2 x 307

Step 2: Find the prime factorization of 617

617 = 617

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

LCM = 378838 = 2 x 307 x 617

Step 4: Therefore, the least common multiple of 614 and 617 is 378838.