Least Common Multiple of 706 and 707

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 706 and 707 the smallest integer that is 499142 that is divisible by both numbers.

Least Common Multiple (LCM) of 706 and 707 is 499142.

LCM(706,707) = 499142

LCM of 706 and 707

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

LCM of:
and

Least Common Multiple of 706 and 707

LCM of 706 and 707 is 499142

Least common multiple can be found by multiplying the highest exponent prime factors of 706 and 707. First we will calculate the prime factors of 706 and 707.

Prime Factorization of 706


2 706
353 353
1

Prime factors of 706 are 2,353. Prime factorization of 706 in exponential form is:

706 = 21×3531

Prime Factorization of 707


7 707
101 101
1

Prime factors of 707 are 7,101. Prime factorization of 707 in exponential form is:

707 = 71×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 706 and 707.

LCM(706,707) = 21×71×1011×3531
LCM(706,707) = 499142

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Least Common Multiple of 706 and 707 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 706 and 707, than apply into the LCM equation.

GCF(706,707) = 1
LCM(706,707) = ( 706 × 707) / 1
LCM(706,707) = 499142 / 1
LCM(706,707) = 499142

Properties of LCM 706 and 707

(i) The LCM of 707 and 706 is associative

LCM of 706 and 707 = LCM of 707 and 706

Related Least Common Multiples of 706

Related Least Common Multiples of 707

Frequently Asked Questions on LCM of 706 and 707

1. What is the LCM of 706 and 707?

Answer: LCM of 706 and 707 is 499142.

2. What are the Factors of 706?

Answer: Factors of 706 are 1, 2, 353, 706. There are 4 integers that are factors of 706. The greatest factor of 706 is 706.

3. What are the Factors of 707?

Answer: Factors of 707 are 1, 7, 101, 707. There are 4 integers that are factors of 707. The greatest factor of 707 is 707.

4. How to Find the LCM of 706 and 707?

Answer:

Least Common Multiple of 706 and 707 = 499142

Step 1: Find the prime factorization of 706

706 = 2 x 353

Step 2: Find the prime factorization of 707

707 = 7 x 101

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

LCM = 499142 = 2 x 7 x 101 x 353

Step 4: Therefore, the least common multiple of 706 and 707 is 499142.