Least Common Multiple of 702 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 702 and 707 the smallest integer that is 496314 that is divisible by both numbers.

Least Common Multiple (LCM) of 702 and 707 is 496314.

LCM(702,707) = 496314

LCM of 702 and 707

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

LCM of:
and

Least Common Multiple of 702 and 707

LCM of 702 and 707 is 496314

Least common multiple can be found by multiplying the highest exponent prime factors of 702 and 707. First we will calculate the prime factors of 702 and 707.

Prime Factorization of 702


2 702
3 351
3 117
3 39
13 13
1

Prime factors of 702 are 2, 3,13. Prime factorization of 702 in exponential form is:

702 = 21×33×131

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 702 and 707.

LCM(702,707) = 21×33×71×131×1011
LCM(702,707) = 496314

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Factors of 707

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

1, 7, 101, 707

Least Common Multiple of 702 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 702 and 707, than apply into the LCM equation.

GCF(702,707) = 1
LCM(702,707) = ( 702 × 707) / 1
LCM(702,707) = 496314 / 1
LCM(702,707) = 496314

Properties of LCM 702 and 707

(i) The LCM of 707 and 702 is associative

LCM of 702 and 707 = LCM of 707 and 702

Related Least Common Multiples of 702

Related Least Common Multiples of 707

Frequently Asked Questions on LCM of 702 and 707

1. What is the LCM of 702 and 707?

Answer: LCM of 702 and 707 is 496314.

2. What are the Factors of 702?

Answer: Factors of 702 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702. There are 16 integers that are factors of 702. The greatest factor of 702 is 702.

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 702 and 707?

Answer:

Least Common Multiple of 702 and 707 = 496314

Step 1: Find the prime factorization of 702

702 = 2 x 3 x 3 x 3 x 13

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 = 496314 = 2 x 3 x 3 x 3 x 7 x 13 x 101

Step 4: Therefore, the least common multiple of 702 and 707 is 496314.