Least Common Multiple of 612 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 612 and 614 the smallest integer that is 187884 that is divisible by both numbers.

Least Common Multiple (LCM) of 612 and 614 is 187884.

LCM(612,614) = 187884

LCM of 612 and 614

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

LCM of:
and

Least Common Multiple of 612 and 614

LCM of 612 and 614 is 187884

Least common multiple can be found by multiplying the highest exponent prime factors of 612 and 614. First we will calculate the prime factors of 612 and 614.

Prime Factorization of 612


2 612
2 306
3 153
3 51
17 17
1

Prime factors of 612 are 2, 3,17. Prime factorization of 612 in exponential form is:

612 = 22×32×171

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 612 and 614.

LCM(612,614) = 22×32×171×3071
LCM(612,614) = 187884

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Factors of 614

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

1, 2, 307, 614

Least Common Multiple of 612 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 612 and 614, than apply into the LCM equation.

GCF(612,614) = 2
LCM(612,614) = ( 612 × 614) / 2
LCM(612,614) = 375768 / 2
LCM(612,614) = 187884

Properties of LCM 612 and 614

(i) The LCM of 614 and 612 is associative

LCM of 612 and 614 = LCM of 614 and 612

Related Least Common Multiples of 612

Related Least Common Multiples of 614

Frequently Asked Questions on LCM of 612 and 614

1. What is the LCM of 612 and 614?

Answer: LCM of 612 and 614 is 187884.

2. What are the Factors of 612?

Answer: Factors of 612 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612. There are 18 integers that are factors of 612. The greatest factor of 612 is 612.

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 612 and 614?

Answer:

Least Common Multiple of 612 and 614 = 187884

Step 1: Find the prime factorization of 612

612 = 2 x 2 x 3 x 3 x 17

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 = 187884 = 2 x 2 x 3 x 3 x 17 x 307

Step 4: Therefore, the least common multiple of 612 and 614 is 187884.