Least Common Multiple of 601 and 602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 601 and 602 the smallest integer that is 361802 that is divisible by both numbers.

Least Common Multiple (LCM) of 601 and 602 is 361802.

LCM(601,602) = 361802

LCM of 601 and 602

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

LCM of:
and

Least Common Multiple of 601 and 602

LCM of 601 and 602 is 361802

Least common multiple can be found by multiplying the highest exponent prime factors of 601 and 602. First we will calculate the prime factors of 601 and 602.

Prime Factorization of 601


601 601
1

Prime factors of 601 are 601. Prime factorization of 601 in exponential form is:

601 = 6011

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

Now multiplying the highest exponent prime factors to calculate the LCM of 601 and 602.

LCM(601,602) = 21×71×431×6011
LCM(601,602) = 361802

Factors of 601

List of positive integer factors of 601 that divides 601 without a remainder.

1, 601

Factors of 602

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

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

Least Common Multiple of 601 and 602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 601 and 602, than apply into the LCM equation.

GCF(601,602) = 1
LCM(601,602) = ( 601 × 602) / 1
LCM(601,602) = 361802 / 1
LCM(601,602) = 361802

Properties of LCM 601 and 602

(i) The LCM of 602 and 601 is associative

LCM of 601 and 602 = LCM of 602 and 601

Frequently Asked Questions on LCM of 601 and 602

1. What is the LCM of 601 and 602?

Answer: LCM of 601 and 602 is 361802.

2. What are the Factors of 601?

Answer: Factors of 601 are 1, 601. There are 2 integers that are factors of 601. The greatest factor of 601 is 601.

3. 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.

4. How to Find the LCM of 601 and 602?

Answer:

Least Common Multiple of 601 and 602 = 361802

Step 1: Find the prime factorization of 601

601 = 601

Step 2: Find the prime factorization of 602

602 = 2 x 7 x 43

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

LCM = 361802 = 2 x 7 x 43 x 601

Step 4: Therefore, the least common multiple of 601 and 602 is 361802.