Least Common Multiple of 602 and 606

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 602 and 606 the smallest integer that is 182406 that is divisible by both numbers.

Least Common Multiple (LCM) of 602 and 606 is 182406.

LCM(602,606) = 182406

LCM of 602 and 606

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

LCM of:
and

Least Common Multiple of 602 and 606

LCM of 602 and 606 is 182406

Least common multiple can be found by multiplying the highest exponent prime factors of 602 and 606. First we will calculate the prime factors of 602 and 606.

Prime Factorization of 602


2 602
7 301
43 43
1

Prime factors of 602 are 2, 7,43. Prime factorization of 602 in exponential form is:

602 = 21×71×431

Prime Factorization of 606


2 606
3 303
101 101
1

Prime factors of 606 are 2, 3,101. Prime factorization of 606 in exponential form is:

606 = 21×31×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 602 and 606.

LCM(602,606) = 21×31×71×431×1011
LCM(602,606) = 182406

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1, 2, 7, 14, 43, 86, 301, 602

Factors of 606

List of positive integer factors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303, 606

Least Common Multiple of 602 and 606 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 602 and 606, than apply into the LCM equation.

GCF(602,606) = 2
LCM(602,606) = ( 602 × 606) / 2
LCM(602,606) = 364812 / 2
LCM(602,606) = 182406

Properties of LCM 602 and 606

(i) The LCM of 606 and 602 is associative

LCM of 602 and 606 = LCM of 606 and 602

Related Least Common Multiples of 602

Related Least Common Multiples of 606

Frequently Asked Questions on LCM of 602 and 606

1. What is the LCM of 602 and 606?

Answer: LCM of 602 and 606 is 182406.

2. What are the Factors of 602?

Answer: Factors of 602 are 1, 2, 7, 14, 43, 86, 301, 602. There are 8 integers that are factors of 602. The greatest factor of 602 is 602.

3. What are the Factors of 606?

Answer: Factors of 606 are 1, 2, 3, 6, 101, 202, 303, 606. There are 8 integers that are factors of 606. The greatest factor of 606 is 606.

4. How to Find the LCM of 602 and 606?

Answer:

Least Common Multiple of 602 and 606 = 182406

Step 1: Find the prime factorization of 602

602 = 2 x 7 x 43

Step 2: Find the prime factorization of 606

606 = 2 x 3 x 101

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

LCM = 182406 = 2 x 3 x 7 x 43 x 101

Step 4: Therefore, the least common multiple of 602 and 606 is 182406.