What is the LCM (least common multiple) of 57 and 93?
- A1767
- B1567
- C1576
- D1919
Solution & Step-by-step Explanation
To find the Least Common Multiple (LCM) of 57 and 93, we first find their prime factorizations:
57=3×19
93=3×31
The LCM is calculated by taking the highest power of each prime factor involved:
LCM=3
1
×19
1
×31
1
LCM=3×19×31
LCM=57×31=1767
57=3×19
93=3×31
The LCM is calculated by taking the highest power of each prime factor involved:
LCM=3
1
×19
1
×31
1
LCM=3×19×31
LCM=57×31=1767