Least Common Multiple of 702 and 705

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 705 the smallest integer that is 164970 that is divisible by both numbers.

Least Common Multiple (LCM) of 702 and 705 is 164970.

LCM(702,705) = 164970

LCM of 702 and 705

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

LCM of:
and

Least Common Multiple of 702 and 705

LCM of 702 and 705 is 164970

Least common multiple can be found by multiplying the highest exponent prime factors of 702 and 705. First we will calculate the prime factors of 702 and 705.

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 705


3 705
5 235
47 47
1

Prime factors of 705 are 3, 5,47. Prime factorization of 705 in exponential form is:

705 = 31×51×471

Now multiplying the highest exponent prime factors to calculate the LCM of 702 and 705.

LCM(702,705) = 21×33×51×131×471
LCM(702,705) = 164970

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 705

List of positive integer factors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Least Common Multiple of 702 and 705 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 705, than apply into the LCM equation.

GCF(702,705) = 3
LCM(702,705) = ( 702 × 705) / 3
LCM(702,705) = 494910 / 3
LCM(702,705) = 164970

Properties of LCM 702 and 705

(i) The LCM of 705 and 702 is associative

LCM of 702 and 705 = LCM of 705 and 702

Related Least Common Multiples of 702

Related Least Common Multiples of 705

Frequently Asked Questions on LCM of 702 and 705

1. What is the LCM of 702 and 705?

Answer: LCM of 702 and 705 is 164970.

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 705?

Answer: Factors of 705 are 1, 3, 5, 15, 47, 141, 235, 705. There are 8 integers that are factors of 705. The greatest factor of 705 is 705.

4. How to Find the LCM of 702 and 705?

Answer:

Least Common Multiple of 702 and 705 = 164970

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 705

705 = 3 x 5 x 47

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

LCM = 164970 = 2 x 3 x 3 x 3 x 5 x 13 x 47

Step 4: Therefore, the least common multiple of 702 and 705 is 164970.