Solution - Least common multiple (LCM)

Least Common Multiple is :

      30976351200

Calculate Least Common Multiple for :

    36810, 5024 and 5025

Factorize of the above numbers :

    36810 = 2 • 32 • 5 • 409 
    5024 = 25 • 157 
    5025 = 3 • 52 • 67 

Build a prime factors table

    Number of times each prime factor
    appears in the factorization of :

Prime   Factor	Number   36810	Number   5024	Number   5025	L.C.M    (max)
2	1	5	0	5
3	2	0	1	2
5	1	0	2	2
67	0	0	1	1
157	0	1	0	1
409	1	0	0	1

 LCM = 25 • 32 • 52 • 67 • 157 • 409

Least Common Multiple is :

      30976351200