Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 954 and 955 the smallest integer that is 911070 that is divisible by both numbers.
Least Common Multiple (LCM) of 954 and 955 is 911070.
LCM(954,955) = 911070
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 954 and 955. First we will calculate the prime factors of 954 and 955.
Prime Factorization of 954
2 | 954 |
3 | 477 |
3 | 159 |
53 | 53 |
1 |
Prime factors of 954 are 2, 3,53. Prime factorization of 954 in exponential form is:
954 = 21×32×531
Prime Factorization of 955
5 | 955 |
191 | 191 |
1 |
Prime factors of 955 are 5,191. Prime factorization of 955 in exponential form is:
955 = 51×1911
Now multiplying the highest exponent prime factors to calculate the LCM of 954 and 955.
LCM(954,955) = 21×32×51×531×1911
LCM(954,955) = 911070
Factors of 954
List of positive integer factors of 954 that divides 954 without a remainder.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
Factors of 955
List of positive integer factors of 955 that divides 955 without a remainder.
1, 5, 191, 955
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 954 and 955, than apply into the LCM equation.
GCF(954,955) = 1
LCM(954,955) = ( 954 × 955) / 1
LCM(954,955) = 911070 / 1
LCM(954,955) = 911070
(i) The LCM of 955 and 954 is associative
LCM of 954 and 955 = LCM of 955 and 954
1. What is the LCM of 954 and 955?
Answer: LCM of 954 and 955 is 911070.
2. What are the Factors of 954?
Answer: Factors of 954 are 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954. There are 12 integers that are factors of 954. The greatest factor of 954 is 954.
3. What are the Factors of 955?
Answer: Factors of 955 are 1, 5, 191, 955. There are 4 integers that are factors of 955. The greatest factor of 955 is 955.
4. How to Find the LCM of 954 and 955?
Answer:
Least Common Multiple of 954 and 955 = 911070
Step 1: Find the prime factorization of 954
954 = 2 x 3 x 3 x 53
Step 2: Find the prime factorization of 955
955 = 5 x 191
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 911070 = 2 x 3 x 3 x 5 x 53 x 191
Step 4: Therefore, the least common multiple of 954 and 955 is 911070.