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
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
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
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
(i) The LCM of 602 and 601 is associative
LCM of 601 and 602 = LCM of 602 and 601
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.