Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8951 and 8956 the smallest integer that is 80165156 that is divisible by both numbers.
Least Common Multiple (LCM) of 8951 and 8956 is 80165156.
LCM(8951,8956) = 80165156
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 8951 and 8956. First we will calculate the prime factors of 8951 and 8956.
Prime Factorization of 8951
8951 | 8951 |
1 |
Prime factors of 8951 are 8951. Prime factorization of 8951 in exponential form is:
8951 = 89511
Prime Factorization of 8956
2 | 8956 |
2 | 4478 |
2239 | 2239 |
1 |
Prime factors of 8956 are 2,2239. Prime factorization of 8956 in exponential form is:
8956 = 22×22391
Now multiplying the highest exponent prime factors to calculate the LCM of 8951 and 8956.
LCM(8951,8956) = 22×22391×89511
LCM(8951,8956) = 80165156
Factors of 8951
List of positive integer factors of 8951 that divides 8951 without a remainder.
1, 8951
Factors of 8956
List of positive integer factors of 8956 that divides 8956 without a remainder.
1, 2, 4, 2239, 4478, 8956
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8951 and 8956, than apply into the LCM equation.
GCF(8951,8956) = 1
LCM(8951,8956) = ( 8951 × 8956) / 1
LCM(8951,8956) = 80165156 / 1
LCM(8951,8956) = 80165156
(i) The LCM of 8956 and 8951 is associative
LCM of 8951 and 8956 = LCM of 8956 and 8951
1. What is the LCM of 8951 and 8956?
Answer: LCM of 8951 and 8956 is 80165156.
2. What are the Factors of 8951?
Answer: Factors of 8951 are 1, 8951. There are 2 integers that are factors of 8951. The greatest factor of 8951 is 8951.
3. What are the Factors of 8956?
Answer: Factors of 8956 are 1, 2, 4, 2239, 4478, 8956. There are 6 integers that are factors of 8956. The greatest factor of 8956 is 8956.
4. How to Find the LCM of 8951 and 8956?
Answer:
Least Common Multiple of 8951 and 8956 = 80165156
Step 1: Find the prime factorization of 8951
8951 = 8951
Step 2: Find the prime factorization of 8956
8956 = 2 x 2 x 2239
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 80165156 = 2 x 2 x 2239 x 8951
Step 4: Therefore, the least common multiple of 8951 and 8956 is 80165156.