Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1046 and 1048 the smallest integer that is 548104 that is divisible by both numbers.
Least Common Multiple (LCM) of 1046 and 1048 is 548104.
LCM(1046,1048) = 548104
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 1046 and 1048. First we will calculate the prime factors of 1046 and 1048.
Prime Factorization of 1046
2 | 1046 |
523 | 523 |
1 |
Prime factors of 1046 are 2,523. Prime factorization of 1046 in exponential form is:
1046 = 21×5231
Prime Factorization of 1048
2 | 1048 |
2 | 524 |
2 | 262 |
131 | 131 |
1 |
Prime factors of 1048 are 2,131. Prime factorization of 1048 in exponential form is:
1048 = 23×1311
Now multiplying the highest exponent prime factors to calculate the LCM of 1046 and 1048.
LCM(1046,1048) = 23×1311×5231
LCM(1046,1048) = 548104
Factors of 1046
List of positive integer factors of 1046 that divides 1046 without a remainder.
1, 2, 523, 1046
Factors of 1048
List of positive integer factors of 1048 that divides 1048 without a remainder.
1, 2, 4, 8, 131, 262, 524, 1048
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1046 and 1048, than apply into the LCM equation.
GCF(1046,1048) = 2
LCM(1046,1048) = ( 1046 × 1048) / 2
LCM(1046,1048) = 1096208 / 2
LCM(1046,1048) = 548104
(i) The LCM of 1048 and 1046 is associative
LCM of 1046 and 1048 = LCM of 1048 and 1046
1. What is the LCM of 1046 and 1048?
Answer: LCM of 1046 and 1048 is 548104.
2. What are the Factors of 1046?
Answer: Factors of 1046 are 1, 2, 523, 1046. There are 4 integers that are factors of 1046. The greatest factor of 1046 is 1046.
3. What are the Factors of 1048?
Answer: Factors of 1048 are 1, 2, 4, 8, 131, 262, 524, 1048. There are 8 integers that are factors of 1048. The greatest factor of 1048 is 1048.
4. How to Find the LCM of 1046 and 1048?
Answer:
Least Common Multiple of 1046 and 1048 = 548104
Step 1: Find the prime factorization of 1046
1046 = 2 x 523
Step 2: Find the prime factorization of 1048
1048 = 2 x 2 x 2 x 131
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 548104 = 2 x 2 x 2 x 131 x 523
Step 4: Therefore, the least common multiple of 1046 and 1048 is 548104.