what is the LCM of 15 and 25 with explain
Answers
LCM of 15 , 25 = 75
15 × 5 = 75
25 × 3 = 75
QUESTION
what is the LCM of 15 and 25 with explain
ANSWERS
Least common multiple can be found by multiplying the highest exponent prime factors of 15 and 25. First we will calculate the prime factors of 15 and 25.
Prime Factorization of 15
3l15
5 l5
1
Prime factors of 15 are 3,5. Prime factorization of 15 in exponential form is:
15 = 31×51
Prime Factorization of 25
5 l25
5l5
1
Prime factors of 25 are 5. Prime factorization of 25 in exponential form is:
25 = 5²
Now multiplying the highest exponent prime factors to calculate the LCM of 15 and 25.
LCM(15,25) = 31×52
LCM(15,25) = 75
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1, 5, 25
- Least Common Multiple (LCM) of 15 and 25 is 75.
- LCM(15,25) = 75
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