Least Common Multiple of 703 and 708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 703 and 708 the smallest integer that is 497724 that is divisible by both numbers.

Least Common Multiple (LCM) of 703 and 708 is 497724.

LCM(703,708) = 497724

LCM of 703 and 708

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

LCM of:
and

Least Common Multiple of 703 and 708

LCM of 703 and 708 is 497724

Least common multiple can be found by multiplying the highest exponent prime factors of 703 and 708. First we will calculate the prime factors of 703 and 708.

Prime Factorization of 703


19 703
37 37
1

Prime factors of 703 are 19,37. Prime factorization of 703 in exponential form is:

703 = 191×371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 703 and 708.

LCM(703,708) = 22×31×191×371×591
LCM(703,708) = 497724

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1, 19, 37, 703

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

Least Common Multiple of 703 and 708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 703 and 708, than apply into the LCM equation.

GCF(703,708) = 1
LCM(703,708) = ( 703 × 708) / 1
LCM(703,708) = 497724 / 1
LCM(703,708) = 497724

Properties of LCM 703 and 708

(i) The LCM of 708 and 703 is associative

LCM of 703 and 708 = LCM of 708 and 703

Related Least Common Multiples of 703

Related Least Common Multiples of 708

Frequently Asked Questions on LCM of 703 and 708

1. What is the LCM of 703 and 708?

Answer: LCM of 703 and 708 is 497724.

2. What are the Factors of 703?

Answer: Factors of 703 are 1, 19, 37, 703. There are 4 integers that are factors of 703. The greatest factor of 703 is 703.

3. 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.

4. How to Find the LCM of 703 and 708?

Answer:

Least Common Multiple of 703 and 708 = 497724

Step 1: Find the prime factorization of 703

703 = 19 x 37

Step 2: Find the prime factorization of 708

708 = 2 x 2 x 3 x 59

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

LCM = 497724 = 2 x 2 x 3 x 19 x 37 x 59

Step 4: Therefore, the least common multiple of 703 and 708 is 497724.