Least Common Multiple of 708 and 716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 708 and 716 the smallest integer that is 126732 that is divisible by both numbers.

Least Common Multiple (LCM) of 708 and 716 is 126732.

LCM(708,716) = 126732

LCM of 708 and 716

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

LCM of:
and

Least Common Multiple of 708 and 716

LCM of 708 and 716 is 126732

Least common multiple can be found by multiplying the highest exponent prime factors of 708 and 716. First we will calculate the prime factors of 708 and 716.

Prime Factorization of 708


2 708
2 354
3 177
59 59
1

Prime factors of 708 are 2, 3,59. Prime factorization of 708 in exponential form is:

708 = 22×31×591

Prime Factorization of 716


2 716
2 358
179 179
1

Prime factors of 716 are 2,179. Prime factorization of 716 in exponential form is:

716 = 22×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 708 and 716.

LCM(708,716) = 22×31×591×1791
LCM(708,716) = 126732

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Least Common Multiple of 708 and 716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 708 and 716, than apply into the LCM equation.

GCF(708,716) = 4
LCM(708,716) = ( 708 × 716) / 4
LCM(708,716) = 506928 / 4
LCM(708,716) = 126732

Properties of LCM 708 and 716

(i) The LCM of 716 and 708 is associative

LCM of 708 and 716 = LCM of 716 and 708

Related Least Common Multiples of 708

Related Least Common Multiples of 716

Frequently Asked Questions on LCM of 708 and 716

1. What is the LCM of 708 and 716?

Answer: LCM of 708 and 716 is 126732.

2. What are the Factors of 708?

Answer: Factors of 708 are 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708. There are 12 integers that are factors of 708. The greatest factor of 708 is 708.

3. What are the Factors of 716?

Answer: Factors of 716 are 1, 2, 4, 179, 358, 716. There are 6 integers that are factors of 716. The greatest factor of 716 is 716.

4. How to Find the LCM of 708 and 716?

Answer:

Least Common Multiple of 708 and 716 = 126732

Step 1: Find the prime factorization of 708

708 = 2 x 2 x 3 x 59

Step 2: Find the prime factorization of 716

716 = 2 x 2 x 179

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

LCM = 126732 = 2 x 2 x 3 x 59 x 179

Step 4: Therefore, the least common multiple of 708 and 716 is 126732.