Least Common Multiple of 695 and 698

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 698 the smallest integer that is 485110 that is divisible by both numbers.

Least Common Multiple (LCM) of 695 and 698 is 485110.

LCM(695,698) = 485110

LCM of 695 and 698

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

LCM of:
and

Least Common Multiple of 695 and 698

LCM of 695 and 698 is 485110

Least common multiple can be found by multiplying the highest exponent prime factors of 695 and 698. First we will calculate the prime factors of 695 and 698.

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 698


2 698
349 349
1

Prime factors of 698 are 2,349. Prime factorization of 698 in exponential form is:

698 = 21×3491

Now multiplying the highest exponent prime factors to calculate the LCM of 695 and 698.

LCM(695,698) = 21×51×1391×3491
LCM(695,698) = 485110

Factors of 695

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

1, 5, 139, 695

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Least Common Multiple of 695 and 698 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 698, than apply into the LCM equation.

GCF(695,698) = 1
LCM(695,698) = ( 695 × 698) / 1
LCM(695,698) = 485110 / 1
LCM(695,698) = 485110

Properties of LCM 695 and 698

(i) The LCM of 698 and 695 is associative

LCM of 695 and 698 = LCM of 698 and 695

Related Least Common Multiples of 695

Related Least Common Multiples of 698

Frequently Asked Questions on LCM of 695 and 698

1. What is the LCM of 695 and 698?

Answer: LCM of 695 and 698 is 485110.

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 698?

Answer: Factors of 698 are 1, 2, 349, 698. There are 4 integers that are factors of 698. The greatest factor of 698 is 698.

4. How to Find the LCM of 695 and 698?

Answer:

Least Common Multiple of 695 and 698 = 485110

Step 1: Find the prime factorization of 695

695 = 5 x 139

Step 2: Find the prime factorization of 698

698 = 2 x 349

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

LCM = 485110 = 2 x 5 x 139 x 349

Step 4: Therefore, the least common multiple of 695 and 698 is 485110.