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 607 the smallest integer that is 365414 that is divisible by both numbers.
Least Common Multiple (LCM) of 602 and 607 is 365414.
LCM(602,607) = 365414
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 602 and 607. First we will calculate the prime factors of 602 and 607.
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 607
607 | 607 |
1 |
Prime factors of 607 are 607. Prime factorization of 607 in exponential form is:
607 = 6071
Now multiplying the highest exponent prime factors to calculate the LCM of 602 and 607.
LCM(602,607) = 21×71×431×6071
LCM(602,607) = 365414
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 607
List of positive integer factors of 607 that divides 607 without a remainder.
1, 607
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 602 and 607, than apply into the LCM equation.
GCF(602,607) = 1
LCM(602,607) = ( 602 × 607) / 1
LCM(602,607) = 365414 / 1
LCM(602,607) = 365414
(i) The LCM of 607 and 602 is associative
LCM of 602 and 607 = LCM of 607 and 602
1. What is the LCM of 602 and 607?
Answer: LCM of 602 and 607 is 365414.
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 607?
Answer: Factors of 607 are 1, 607. There are 2 integers that are factors of 607. The greatest factor of 607 is 607.
4. How to Find the LCM of 602 and 607?
Answer:
Least Common Multiple of 602 and 607 = 365414
Step 1: Find the prime factorization of 602
602 = 2 x 7 x 43
Step 2: Find the prime factorization of 607
607 = 607
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 365414 = 2 x 7 x 43 x 607
Step 4: Therefore, the least common multiple of 602 and 607 is 365414.