what is lcm of 2048 and 5688
Answers
Answer:
LCM (2048,5688)=1456128
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Answer:
Least Common Multiple (LCM) of 2048 and 2058 is 2107392.
Step-by-step explanation:
Least common multiple can be found by multiplying the highest exponent prime factors of 2048 and 2058. First we will calculate the prime factors of 2048 and 2058.
Prime Factorization of 2048
2 2048
2 1024
2 512
2 256
2 128
2 64
2 32
2 16
2 8
2 4
2 2
1
Prime factors of 2048 are 2. Prime factorization of 2048 in exponential form is:
2048 = 211
Prime Factorization of 2058
2 2058
3 1029
7 343
7 49
7 7
1
Prime factors of 2058 are 2, 3,7. Prime factorization of 2058 in exponential form is:
2058 = 21×31×73
Now multiplying the highest exponent prime factors to calculate the LCM of 2048 and 2058.
LCM(2048,2058) = 211×31×73
LCM(2048,2058) = 2107392
Factors of 2048
List of positive integer factors of 2048 that divides 2048 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048
Factors of 2058
List of positive integer factors of 2058 that divides 2058 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294, 343, 686, 1029, 2058