Least Common Multiple of 695 and 699

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 695 and 699 the smallest integer that is 485805 that is divisible by both numbers.

Least Common Multiple (LCM) of 695 and 699 is 485805.

LCM(695,699) = 485805

LCM of 695 and 699

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

LCM of:
and

Least Common Multiple of 695 and 699

LCM of 695 and 699 is 485805

Least common multiple can be found by multiplying the highest exponent prime factors of 695 and 699. First we will calculate the prime factors of 695 and 699.

Prime Factorization of 695


5 695
139 139
1

Prime factors of 695 are 5,139. Prime factorization of 695 in exponential form is:

695 = 51×1391

Prime Factorization of 699


3 699
233 233
1

Prime factors of 699 are 3,233. Prime factorization of 699 in exponential form is:

699 = 31×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 695 and 699.

LCM(695,699) = 31×51×1391×2331
LCM(695,699) = 485805

Factors of 695

List of positive integer factors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Least Common Multiple of 695 and 699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 695 and 699, than apply into the LCM equation.

GCF(695,699) = 1
LCM(695,699) = ( 695 × 699) / 1
LCM(695,699) = 485805 / 1
LCM(695,699) = 485805

Properties of LCM 695 and 699

(i) The LCM of 699 and 695 is associative

LCM of 695 and 699 = LCM of 699 and 695

Related Least Common Multiples of 695

Related Least Common Multiples of 699

Frequently Asked Questions on LCM of 695 and 699

1. What is the LCM of 695 and 699?

Answer: LCM of 695 and 699 is 485805.

2. What are the Factors of 695?

Answer: Factors of 695 are 1, 5, 139, 695. There are 4 integers that are factors of 695. The greatest factor of 695 is 695.

3. What are the Factors of 699?

Answer: Factors of 699 are 1, 3, 233, 699. There are 4 integers that are factors of 699. The greatest factor of 699 is 699.

4. How to Find the LCM of 695 and 699?

Answer:

Least Common Multiple of 695 and 699 = 485805

Step 1: Find the prime factorization of 695

695 = 5 x 139

Step 2: Find the prime factorization of 699

699 = 3 x 233

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

LCM = 485805 = 3 x 5 x 139 x 233

Step 4: Therefore, the least common multiple of 695 and 699 is 485805.