LCM for 108 and 396
What's the Least Common Multiple (LCM) of 108 and 396?
(One thousand, one hundred eighty-eight)
Finding LCM for 108 and 396 using GCF's of these numbers
The first method to find LCM for numbers 108 and 396 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 108 and 396 is 36, so
LCM = (108 × 396) ÷ 36
LCM = 42768 ÷ 36
LCM = 1188
Finding LCM for 108 and 396 by Listing Multiples
The second method to find LCM for numbers 108 and 396 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 108: 108, 216, 324, 432, 540, 648, 756, 864, 972, 1080, 1188, 1296, 1404
Multiples of 396: 396, 792, 1188, 1584, 1980
So the LCM for 108 and 396 is 1188
Finding LCM for 108 and 396 by Prime Factorization
Another method to find LCM for numbers 108 and 396 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 108: 2, 2, 3, 3, 3 (exponent form: 22, 33)
All Prime Factors of 396: 2, 2, 3, 3, 11 (exponent form: 22, 32, 111)
22 × 33 × 111 = 1188
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
93 | 396 | 12276 |
94 | 396 | 18612 |
95 | 396 | 37620 |
96 | 396 | 3168 |
97 | 396 | 38412 |
98 | 396 | 19404 |
99 | 396 | 396 |
100 | 396 | 9900 |
101 | 396 | 39996 |
102 | 396 | 6732 |
103 | 396 | 40788 |
104 | 396 | 10296 |
105 | 396 | 13860 |
106 | 396 | 20988 |
107 | 396 | 42372 |
108 | 396 | 1188 |
109 | 396 | 43164 |
110 | 396 | 1980 |
111 | 396 | 14652 |
112 | 396 | 11088 |
113 | 396 | 44748 |
114 | 396 | 7524 |
115 | 396 | 45540 |
116 | 396 | 11484 |
117 | 396 | 5148 |
118 | 396 | 23364 |
119 | 396 | 47124 |
120 | 396 | 3960 |
121 | 396 | 4356 |
122 | 396 | 24156 |
About "Least Common Multiple" Calculator
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers