Least Common Multiple of 708 and 712

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 712 the smallest integer that is 126024 that is divisible by both numbers.

Least Common Multiple (LCM) of 708 and 712 is 126024.

LCM(708,712) = 126024

LCM of 708 and 712

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

LCM of:
and

Least Common Multiple of 708 and 712

LCM of 708 and 712 is 126024

Least common multiple can be found by multiplying the highest exponent prime factors of 708 and 712. First we will calculate the prime factors of 708 and 712.

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 712


2 712
2 356
2 178
89 89
1

Prime factors of 712 are 2,89. Prime factorization of 712 in exponential form is:

712 = 23×891

Now multiplying the highest exponent prime factors to calculate the LCM of 708 and 712.

LCM(708,712) = 23×31×591×891
LCM(708,712) = 126024

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 712

List of positive integer factors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Least Common Multiple of 708 and 712 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 712, than apply into the LCM equation.

GCF(708,712) = 4
LCM(708,712) = ( 708 × 712) / 4
LCM(708,712) = 504096 / 4
LCM(708,712) = 126024

Properties of LCM 708 and 712

(i) The LCM of 712 and 708 is associative

LCM of 708 and 712 = LCM of 712 and 708

Related Least Common Multiples of 708

Related Least Common Multiples of 712

Frequently Asked Questions on LCM of 708 and 712

1. What is the LCM of 708 and 712?

Answer: LCM of 708 and 712 is 126024.

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 712?

Answer: Factors of 712 are 1, 2, 4, 8, 89, 178, 356, 712. There are 8 integers that are factors of 712. The greatest factor of 712 is 712.

4. How to Find the LCM of 708 and 712?

Answer:

Least Common Multiple of 708 and 712 = 126024

Step 1: Find the prime factorization of 708

708 = 2 x 2 x 3 x 59

Step 2: Find the prime factorization of 712

712 = 2 x 2 x 2 x 89

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

LCM = 126024 = 2 x 2 x 2 x 3 x 59 x 89

Step 4: Therefore, the least common multiple of 708 and 712 is 126024.