LCM for 126 and 198
What's the Least Common Multiple (LCM) of 126 and 198?
(One thousand, three hundred eighty-six)
Finding LCM for 126 and 198 using GCF's of these numbers
The first method to find LCM for numbers 126 and 198 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 126 and 198 is 18, so
LCM = (126 × 198) ÷ 18
LCM = 24948 ÷ 18
LCM = 1386
Finding LCM for 126 and 198 by Listing Multiples
The second method to find LCM for numbers 126 and 198 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 126: 126, 252, 378, 504, 630, 756, 882, 1008, 1134, 1260, 1386, 1512, 1638
Multiples of 198: 198, 396, 594, 792, 990, 1188, 1386, 1584, 1782
So the LCM for 126 and 198 is 1386
Finding LCM for 126 and 198 by Prime Factorization
Another method to find LCM for numbers 126 and 198 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 126: 2, 3, 3, 7 (exponent form: 21, 32, 71)
All Prime Factors of 198: 2, 3, 3, 11 (exponent form: 21, 32, 111)
21 × 32 × 71 × 111 = 1386
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
111 | 198 | 7326 |
112 | 198 | 11088 |
113 | 198 | 22374 |
114 | 198 | 3762 |
115 | 198 | 22770 |
116 | 198 | 11484 |
117 | 198 | 2574 |
118 | 198 | 11682 |
119 | 198 | 23562 |
120 | 198 | 3960 |
121 | 198 | 2178 |
122 | 198 | 12078 |
123 | 198 | 8118 |
124 | 198 | 12276 |
125 | 198 | 24750 |
126 | 198 | 1386 |
127 | 198 | 25146 |
128 | 198 | 12672 |
129 | 198 | 8514 |
130 | 198 | 12870 |
131 | 198 | 25938 |
132 | 198 | 396 |
133 | 198 | 26334 |
134 | 198 | 13266 |
135 | 198 | 2970 |
136 | 198 | 13464 |
137 | 198 | 27126 |
138 | 198 | 4554 |
139 | 198 | 27522 |
140 | 198 | 13860 |
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