LCM( 53373600, 1765 ) = 53373600
Step 1 : Write the given numbers in a horizontal line.
53373600 | 1765 |
Step 2 : Divide the given numbers by smallest prime number. In this example we can divide by 2.
(if any number is not divisible by 2, write it down unchanged)
2 | 53373600 | 1765 |
26686800 | 1765 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 53373600 | 1765 |
2 | 26686800 | 1765 |
2 | 13343400 | 1765 |
2 | 6671700 | 1765 |
2 | 3335850 | 1765 |
3 | 1667925 | 1765 |
3 | 555975 | 1765 |
3 | 185325 | 1765 |
5 | 61775 | 1765 |
5 | 12355 | 353 |
7 | 2471 | 353 |
353 | 353 | 353 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 53373600, 1765 ) = 2 · 2 · 2 · 2 · 2 · 3 · 3 · 3 · 5 · 5 · 7 · 353 = 53373600 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.