LCM for 116 and 174
What's the Least Common Multiple (LCM) of 116 and 174?
(Three hundred forty-eight)
Finding LCM for 116 and 174 using GCF's of these numbers
The first method to find LCM for numbers 116 and 174 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 116 and 174 is 58, so
LCM = (116 × 174) ÷ 58
LCM = 20184 ÷ 58
LCM = 348
Finding LCM for 116 and 174 by Listing Multiples
The second method to find LCM for numbers 116 and 174 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 116: 116, 232, 348, 464, 580
Multiples of 174: 174, 348, 522, 696
So the LCM for 116 and 174 is 348
Finding LCM for 116 and 174 by Prime Factorization
Another method to find LCM for numbers 116 and 174 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 116: 2, 2, 29 (exponent form: 22, 291)
All Prime Factors of 174: 2, 3, 29 (exponent form: 21, 31, 291)
22 × 291 × 31 = 348
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
101 | 174 | 17574 |
102 | 174 | 2958 |
103 | 174 | 17922 |
104 | 174 | 9048 |
105 | 174 | 6090 |
106 | 174 | 9222 |
107 | 174 | 18618 |
108 | 174 | 3132 |
109 | 174 | 18966 |
110 | 174 | 9570 |
111 | 174 | 6438 |
112 | 174 | 9744 |
113 | 174 | 19662 |
114 | 174 | 3306 |
115 | 174 | 20010 |
116 | 174 | 348 |
117 | 174 | 6786 |
118 | 174 | 10266 |
119 | 174 | 20706 |
120 | 174 | 3480 |
121 | 174 | 21054 |
122 | 174 | 10614 |
123 | 174 | 7134 |
124 | 174 | 10788 |
125 | 174 | 21750 |
126 | 174 | 3654 |
127 | 174 | 22098 |
128 | 174 | 11136 |
129 | 174 | 7482 |
130 | 174 | 11310 |
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