Least Common Multiple of 612 and 616

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 616 the smallest integer that is 94248 that is divisible by both numbers.

Least Common Multiple (LCM) of 612 and 616 is 94248.

LCM(612,616) = 94248

LCM of 612 and 616

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

LCM of:
and

Least Common Multiple of 612 and 616

LCM of 612 and 616 is 94248

Least common multiple can be found by multiplying the highest exponent prime factors of 612 and 616. First we will calculate the prime factors of 612 and 616.

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 616


2 616
2 308
2 154
7 77
11 11
1

Prime factors of 616 are 2, 7,11. Prime factorization of 616 in exponential form is:

616 = 23×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 612 and 616.

LCM(612,616) = 23×32×71×111×171
LCM(612,616) = 94248

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 616

List of positive integer factors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Least Common Multiple of 612 and 616 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 616, than apply into the LCM equation.

GCF(612,616) = 4
LCM(612,616) = ( 612 × 616) / 4
LCM(612,616) = 376992 / 4
LCM(612,616) = 94248

Properties of LCM 612 and 616

(i) The LCM of 616 and 612 is associative

LCM of 612 and 616 = LCM of 616 and 612

Related Least Common Multiples of 612

Related Least Common Multiples of 616

Frequently Asked Questions on LCM of 612 and 616

1. What is the LCM of 612 and 616?

Answer: LCM of 612 and 616 is 94248.

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 616?

Answer: Factors of 616 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616. There are 16 integers that are factors of 616. The greatest factor of 616 is 616.

4. How to Find the LCM of 612 and 616?

Answer:

Least Common Multiple of 612 and 616 = 94248

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 616

616 = 2 x 2 x 2 x 7 x 11

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

LCM = 94248 = 2 x 2 x 2 x 3 x 3 x 7 x 11 x 17

Step 4: Therefore, the least common multiple of 612 and 616 is 94248.