LCM for 108 and 243
What's the Least Common Multiple (LCM) of 108 and 243?
(Nine hundred seventy-two)
Finding LCM for 108 and 243 using GCF's of these numbers
The first method to find LCM for numbers 108 and 243 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 108 and 243 is 27, so
LCM = (108 × 243) ÷ 27
LCM = 26244 ÷ 27
LCM = 972
Finding LCM for 108 and 243 by Listing Multiples
The second method to find LCM for numbers 108 and 243 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
Multiples of 243: 243, 486, 729, 972, 1215, 1458
So the LCM for 108 and 243 is 972
Finding LCM for 108 and 243 by Prime Factorization
Another method to find LCM for numbers 108 and 243 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 243: 3, 3, 3, 3, 3 (exponent form: 35)
22 × 35 = 972
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
93 | 243 | 7533 |
94 | 243 | 22842 |
95 | 243 | 23085 |
96 | 243 | 7776 |
97 | 243 | 23571 |
98 | 243 | 23814 |
99 | 243 | 2673 |
100 | 243 | 24300 |
101 | 243 | 24543 |
102 | 243 | 8262 |
103 | 243 | 25029 |
104 | 243 | 25272 |
105 | 243 | 8505 |
106 | 243 | 25758 |
107 | 243 | 26001 |
108 | 243 | 972 |
109 | 243 | 26487 |
110 | 243 | 26730 |
111 | 243 | 8991 |
112 | 243 | 27216 |
113 | 243 | 27459 |
114 | 243 | 9234 |
115 | 243 | 27945 |
116 | 243 | 28188 |
117 | 243 | 3159 |
118 | 243 | 28674 |
119 | 243 | 28917 |
120 | 243 | 9720 |
121 | 243 | 29403 |
122 | 243 | 29646 |
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