Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 953 and 959 the smallest integer that is 913927 that is divisible by both numbers.
Least Common Multiple (LCM) of 953 and 959 is 913927.
LCM(953,959) = 913927
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 953 and 959. First we will calculate the prime factors of 953 and 959.
Prime Factorization of 953
953 | 953 |
1 |
Prime factors of 953 are 953. Prime factorization of 953 in exponential form is:
953 = 9531
Prime Factorization of 959
7 | 959 |
137 | 137 |
1 |
Prime factors of 959 are 7,137. Prime factorization of 959 in exponential form is:
959 = 71×1371
Now multiplying the highest exponent prime factors to calculate the LCM of 953 and 959.
LCM(953,959) = 71×1371×9531
LCM(953,959) = 913927
Factors of 953
List of positive integer factors of 953 that divides 953 without a remainder.
1, 953
Factors of 959
List of positive integer factors of 959 that divides 959 without a remainder.
1, 7, 137, 959
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 953 and 959, than apply into the LCM equation.
GCF(953,959) = 1
LCM(953,959) = ( 953 × 959) / 1
LCM(953,959) = 913927 / 1
LCM(953,959) = 913927
(i) The LCM of 959 and 953 is associative
LCM of 953 and 959 = LCM of 959 and 953
1. What is the LCM of 953 and 959?
Answer: LCM of 953 and 959 is 913927.
2. What are the Factors of 953?
Answer: Factors of 953 are 1, 953. There are 2 integers that are factors of 953. The greatest factor of 953 is 953.
3. What are the Factors of 959?
Answer: Factors of 959 are 1, 7, 137, 959. There are 4 integers that are factors of 959. The greatest factor of 959 is 959.
4. How to Find the LCM of 953 and 959?
Answer:
Least Common Multiple of 953 and 959 = 913927
Step 1: Find the prime factorization of 953
953 = 953
Step 2: Find the prime factorization of 959
959 = 7 x 137
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 913927 = 7 x 137 x 953
Step 4: Therefore, the least common multiple of 953 and 959 is 913927.