Least Common Multiple of 614 and 618

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 618 the smallest integer that is 189726 that is divisible by both numbers.

Least Common Multiple (LCM) of 614 and 618 is 189726.

LCM(614,618) = 189726

LCM of 614 and 618

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

LCM of:
and

Least Common Multiple of 614 and 618

LCM of 614 and 618 is 189726

Least common multiple can be found by multiplying the highest exponent prime factors of 614 and 618. First we will calculate the prime factors of 614 and 618.

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 618


2 618
3 309
103 103
1

Prime factors of 618 are 2, 3,103. Prime factorization of 618 in exponential form is:

618 = 21×31×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 614 and 618.

LCM(614,618) = 21×31×1031×3071
LCM(614,618) = 189726

Factors of 614

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

1, 2, 307, 614

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

Least Common Multiple of 614 and 618 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 618, than apply into the LCM equation.

GCF(614,618) = 2
LCM(614,618) = ( 614 × 618) / 2
LCM(614,618) = 379452 / 2
LCM(614,618) = 189726

Properties of LCM 614 and 618

(i) The LCM of 618 and 614 is associative

LCM of 614 and 618 = LCM of 618 and 614

Related Least Common Multiples of 614

Related Least Common Multiples of 618

Frequently Asked Questions on LCM of 614 and 618

1. What is the LCM of 614 and 618?

Answer: LCM of 614 and 618 is 189726.

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 618?

Answer: Factors of 618 are 1, 2, 3, 6, 103, 206, 309, 618. There are 8 integers that are factors of 618. The greatest factor of 618 is 618.

4. How to Find the LCM of 614 and 618?

Answer:

Least Common Multiple of 614 and 618 = 189726

Step 1: Find the prime factorization of 614

614 = 2 x 307

Step 2: Find the prime factorization of 618

618 = 2 x 3 x 103

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

LCM = 189726 = 2 x 3 x 103 x 307

Step 4: Therefore, the least common multiple of 614 and 618 is 189726.