Least Common Multiple of 701 and 702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 701 and 702 the smallest integer that is 492102 that is divisible by both numbers.

Least Common Multiple (LCM) of 701 and 702 is 492102.

LCM(701,702) = 492102

LCM of 701 and 702

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

LCM of:
and

Least Common Multiple of 701 and 702

LCM of 701 and 702 is 492102

Least common multiple can be found by multiplying the highest exponent prime factors of 701 and 702. First we will calculate the prime factors of 701 and 702.

Prime Factorization of 701


701 701
1

Prime factors of 701 are 701. Prime factorization of 701 in exponential form is:

701 = 7011

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

Now multiplying the highest exponent prime factors to calculate the LCM of 701 and 702.

LCM(701,702) = 21×33×131×7011
LCM(701,702) = 492102

Factors of 701

List of positive integer factors of 701 that divides 701 without a remainder.

1, 701

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

Least Common Multiple of 701 and 702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 701 and 702, than apply into the LCM equation.

GCF(701,702) = 1
LCM(701,702) = ( 701 × 702) / 1
LCM(701,702) = 492102 / 1
LCM(701,702) = 492102

Properties of LCM 701 and 702

(i) The LCM of 702 and 701 is associative

LCM of 701 and 702 = LCM of 702 and 701

Related Least Common Multiples of 701

Related Least Common Multiples of 702

Frequently Asked Questions on LCM of 701 and 702

1. What is the LCM of 701 and 702?

Answer: LCM of 701 and 702 is 492102.

2. What are the Factors of 701?

Answer: Factors of 701 are 1, 701. There are 2 integers that are factors of 701. The greatest factor of 701 is 701.

3. 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.

4. How to Find the LCM of 701 and 702?

Answer:

Least Common Multiple of 701 and 702 = 492102

Step 1: Find the prime factorization of 701

701 = 701

Step 2: Find the prime factorization of 702

702 = 2 x 3 x 3 x 3 x 13

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

LCM = 492102 = 2 x 3 x 3 x 3 x 13 x 701

Step 4: Therefore, the least common multiple of 701 and 702 is 492102.