Least Common Multiple of 694 and 701

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 694 and 701 the smallest integer that is 486494 that is divisible by both numbers.

Least Common Multiple (LCM) of 694 and 701 is 486494.

LCM(694,701) = 486494

LCM of 694 and 701

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

LCM of:
and

Least Common Multiple of 694 and 701

LCM of 694 and 701 is 486494

Least common multiple can be found by multiplying the highest exponent prime factors of 694 and 701. First we will calculate the prime factors of 694 and 701.

Prime Factorization of 694


2 694
347 347
1

Prime factors of 694 are 2,347. Prime factorization of 694 in exponential form is:

694 = 21×3471

Prime Factorization of 701


701 701
1

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

701 = 7011

Now multiplying the highest exponent prime factors to calculate the LCM of 694 and 701.

LCM(694,701) = 21×3471×7011
LCM(694,701) = 486494

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Factors of 701

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

1, 701

Least Common Multiple of 694 and 701 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 694 and 701, than apply into the LCM equation.

GCF(694,701) = 1
LCM(694,701) = ( 694 × 701) / 1
LCM(694,701) = 486494 / 1
LCM(694,701) = 486494

Properties of LCM 694 and 701

(i) The LCM of 701 and 694 is associative

LCM of 694 and 701 = LCM of 701 and 694

Frequently Asked Questions on LCM of 694 and 701

1. What is the LCM of 694 and 701?

Answer: LCM of 694 and 701 is 486494.

2. What are the Factors of 694?

Answer: Factors of 694 are 1, 2, 347, 694. There are 4 integers that are factors of 694. The greatest factor of 694 is 694.

3. 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.

4. How to Find the LCM of 694 and 701?

Answer:

Least Common Multiple of 694 and 701 = 486494

Step 1: Find the prime factorization of 694

694 = 2 x 347

Step 2: Find the prime factorization of 701

701 = 701

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

LCM = 486494 = 2 x 347 x 701

Step 4: Therefore, the least common multiple of 694 and 701 is 486494.