LCM for 168 and 189
What's the Least Common Multiple (LCM) of 168 and 189?
(One thousand, five hundred twelve)
Finding LCM for 168 and 189 using GCF's of these numbers
The first method to find LCM for numbers 168 and 189 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 168 and 189 is 21, so
LCM = (168 × 189) ÷ 21
LCM = 31752 ÷ 21
LCM = 1512
Finding LCM for 168 and 189 by Listing Multiples
The second method to find LCM for numbers 168 and 189 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 168: 168, 336, 504, 672, 840, 1008, 1176, 1344, 1512, 1680, 1848
Multiples of 189: 189, 378, 567, 756, 945, 1134, 1323, 1512, 1701, 1890
So the LCM for 168 and 189 is 1512
Finding LCM for 168 and 189 by Prime Factorization
Another method to find LCM for numbers 168 and 189 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 168: 2, 2, 2, 3, 7 (exponent form: 23, 31, 71)
All Prime Factors of 189: 3, 3, 3, 7 (exponent form: 33, 71)
23 × 33 × 71 = 1512
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
153 | 189 | 3213 |
154 | 189 | 4158 |
155 | 189 | 29295 |
156 | 189 | 9828 |
157 | 189 | 29673 |
158 | 189 | 29862 |
159 | 189 | 10017 |
160 | 189 | 30240 |
161 | 189 | 4347 |
162 | 189 | 1134 |
163 | 189 | 30807 |
164 | 189 | 30996 |
165 | 189 | 10395 |
166 | 189 | 31374 |
167 | 189 | 31563 |
168 | 189 | 1512 |
169 | 189 | 31941 |
170 | 189 | 32130 |
171 | 189 | 3591 |
172 | 189 | 32508 |
173 | 189 | 32697 |
174 | 189 | 10962 |
175 | 189 | 4725 |
176 | 189 | 33264 |
177 | 189 | 11151 |
178 | 189 | 33642 |
179 | 189 | 33831 |
180 | 189 | 3780 |
181 | 189 | 34209 |
182 | 189 | 4914 |
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