LCM for 156 and 364
What's the Least Common Multiple (LCM) of 156 and 364?
(One thousand, ninety-two)
Finding LCM for 156 and 364 using GCF's of these numbers
The first method to find LCM for numbers 156 and 364 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 156 and 364 is 52, so
LCM = (156 × 364) ÷ 52
LCM = 56784 ÷ 52
LCM = 1092
Finding LCM for 156 and 364 by Listing Multiples
The second method to find LCM for numbers 156 and 364 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 156: 156, 312, 468, 624, 780, 936, 1092, 1248, 1404
Multiples of 364: 364, 728, 1092, 1456, 1820
So the LCM for 156 and 364 is 1092
Finding LCM for 156 and 364 by Prime Factorization
Another method to find LCM for numbers 156 and 364 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 156: 2, 2, 3, 13 (exponent form: 22, 31, 131)
All Prime Factors of 364: 2, 2, 7, 13 (exponent form: 22, 71, 131)
22 × 31 × 131 × 71 = 1092
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
141 | 364 | 51324 |
142 | 364 | 25844 |
143 | 364 | 4004 |
144 | 364 | 13104 |
145 | 364 | 52780 |
146 | 364 | 26572 |
147 | 364 | 7644 |
148 | 364 | 13468 |
149 | 364 | 54236 |
150 | 364 | 27300 |
151 | 364 | 54964 |
152 | 364 | 13832 |
153 | 364 | 55692 |
154 | 364 | 4004 |
155 | 364 | 56420 |
156 | 364 | 1092 |
157 | 364 | 57148 |
158 | 364 | 28756 |
159 | 364 | 57876 |
160 | 364 | 14560 |
161 | 364 | 8372 |
162 | 364 | 29484 |
163 | 364 | 59332 |
164 | 364 | 14924 |
165 | 364 | 60060 |
166 | 364 | 30212 |
167 | 364 | 60788 |
168 | 364 | 2184 |
169 | 364 | 4732 |
170 | 364 | 30940 |
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