Least Common Multiple of 614 and 620

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 620 the smallest integer that is 190340 that is divisible by both numbers.

Least Common Multiple (LCM) of 614 and 620 is 190340.

LCM(614,620) = 190340

LCM of 614 and 620

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

LCM of:
and

Least Common Multiple of 614 and 620

LCM of 614 and 620 is 190340

Least common multiple can be found by multiplying the highest exponent prime factors of 614 and 620. First we will calculate the prime factors of 614 and 620.

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 620


2 620
2 310
5 155
31 31
1

Prime factors of 620 are 2, 5,31. Prime factorization of 620 in exponential form is:

620 = 22×51×311

Now multiplying the highest exponent prime factors to calculate the LCM of 614 and 620.

LCM(614,620) = 22×51×311×3071
LCM(614,620) = 190340

Factors of 614

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

1, 2, 307, 614

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Least Common Multiple of 614 and 620 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 620, than apply into the LCM equation.

GCF(614,620) = 2
LCM(614,620) = ( 614 × 620) / 2
LCM(614,620) = 380680 / 2
LCM(614,620) = 190340

Properties of LCM 614 and 620

(i) The LCM of 620 and 614 is associative

LCM of 614 and 620 = LCM of 620 and 614

Related Least Common Multiples of 614

Related Least Common Multiples of 620

Frequently Asked Questions on LCM of 614 and 620

1. What is the LCM of 614 and 620?

Answer: LCM of 614 and 620 is 190340.

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 620?

Answer: Factors of 620 are 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620. There are 12 integers that are factors of 620. The greatest factor of 620 is 620.

4. How to Find the LCM of 614 and 620?

Answer:

Least Common Multiple of 614 and 620 = 190340

Step 1: Find the prime factorization of 614

614 = 2 x 307

Step 2: Find the prime factorization of 620

620 = 2 x 2 x 5 x 31

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

LCM = 190340 = 2 x 2 x 5 x 31 x 307

Step 4: Therefore, the least common multiple of 614 and 620 is 190340.