LCM for 132 and 144
What's the Least Common Multiple (LCM) of 132 and 144?
(One thousand, five hundred eighty-four)
Finding LCM for 132 and 144 using GCF's of these numbers
The first method to find LCM for numbers 132 and 144 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 132 and 144 is 12, so
LCM = (132 × 144) ÷ 12
LCM = 19008 ÷ 12
LCM = 1584
Finding LCM for 132 and 144 by Listing Multiples
The second method to find LCM for numbers 132 and 144 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 132: 132, 264, 396, 528, 660, 792, 924, 1056, 1188, 1320, 1452, 1584, 1716, 1848
Multiples of 144: 144, 288, 432, 576, 720, 864, 1008, 1152, 1296, 1440, 1584, 1728, 1872
So the LCM for 132 and 144 is 1584
Finding LCM for 132 and 144 by Prime Factorization
Another method to find LCM for numbers 132 and 144 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 132: 2, 2, 3, 11 (exponent form: 22, 31, 111)
All Prime Factors of 144: 2, 2, 2, 2, 3, 3 (exponent form: 24, 32)
24 × 32 × 111 = 1584
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
117 | 144 | 1872 |
118 | 144 | 8496 |
119 | 144 | 17136 |
120 | 144 | 720 |
121 | 144 | 17424 |
122 | 144 | 8784 |
123 | 144 | 5904 |
124 | 144 | 4464 |
125 | 144 | 18000 |
126 | 144 | 1008 |
127 | 144 | 18288 |
128 | 144 | 1152 |
129 | 144 | 6192 |
130 | 144 | 9360 |
131 | 144 | 18864 |
132 | 144 | 1584 |
133 | 144 | 19152 |
134 | 144 | 9648 |
135 | 144 | 2160 |
136 | 144 | 2448 |
137 | 144 | 19728 |
138 | 144 | 3312 |
139 | 144 | 20016 |
140 | 144 | 5040 |
141 | 144 | 6768 |
142 | 144 | 10224 |
143 | 144 | 20592 |
144 | 144 | 144 |
145 | 144 | 20880 |
146 | 144 | 10512 |
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