Least Common Multiple of 700 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 700 and 708 the smallest integer that is 123900 that is divisible by both numbers.

Least Common Multiple (LCM) of 700 and 708 is 123900.

LCM(700,708) = 123900

LCM of 700 and 708

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

LCM of:
and

Least Common Multiple of 700 and 708

LCM of 700 and 708 is 123900

Least common multiple can be found by multiplying the highest exponent prime factors of 700 and 708. First we will calculate the prime factors of 700 and 708.

Prime Factorization of 700


2 700
2 350
5 175
5 35
7 7
1

Prime factors of 700 are 2, 5,7. Prime factorization of 700 in exponential form is:

700 = 22×52×71

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 700 and 708.

LCM(700,708) = 22×31×52×71×591
LCM(700,708) = 123900

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

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 700 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 700 and 708, than apply into the LCM equation.

GCF(700,708) = 4
LCM(700,708) = ( 700 × 708) / 4
LCM(700,708) = 495600 / 4
LCM(700,708) = 123900

Properties of LCM 700 and 708

(i) The LCM of 708 and 700 is associative

LCM of 700 and 708 = LCM of 708 and 700

Related Least Common Multiples of 700

Related Least Common Multiples of 708

Frequently Asked Questions on LCM of 700 and 708

1. What is the LCM of 700 and 708?

Answer: LCM of 700 and 708 is 123900.

2. What are the Factors of 700?

Answer: Factors of 700 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700. There are 18 integers that are factors of 700. The greatest factor of 700 is 700.

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 700 and 708?

Answer:

Least Common Multiple of 700 and 708 = 123900

Step 1: Find the prime factorization of 700

700 = 2 x 2 x 5 x 5 x 7

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 = 123900 = 2 x 2 x 3 x 5 x 5 x 7 x 59

Step 4: Therefore, the least common multiple of 700 and 708 is 123900.