LCM for 117 and 130
What's the Least Common Multiple (LCM) of 117 and 130?
(One thousand, one hundred seventy)
Finding LCM for 117 and 130 using GCF's of these numbers
The first method to find LCM for numbers 117 and 130 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 117 and 130 is 13, so
LCM = (117 × 130) ÷ 13
LCM = 15210 ÷ 13
LCM = 1170
Finding LCM for 117 and 130 by Listing Multiples
The second method to find LCM for numbers 117 and 130 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 117: 117, 234, 351, 468, 585, 702, 819, 936, 1053, 1170, 1287, 1404
Multiples of 130: 130, 260, 390, 520, 650, 780, 910, 1040, 1170, 1300, 1430
So the LCM for 117 and 130 is 1170
Finding LCM for 117 and 130 by Prime Factorization
Another method to find LCM for numbers 117 and 130 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 117: 3, 3, 13 (exponent form: 32, 131)
All Prime Factors of 130: 2, 5, 13 (exponent form: 21, 51, 131)
32 × 131 × 21 × 51 = 1170
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
102 | 130 | 6630 |
103 | 130 | 13390 |
104 | 130 | 520 |
105 | 130 | 2730 |
106 | 130 | 6890 |
107 | 130 | 13910 |
108 | 130 | 7020 |
109 | 130 | 14170 |
110 | 130 | 1430 |
111 | 130 | 14430 |
112 | 130 | 7280 |
113 | 130 | 14690 |
114 | 130 | 7410 |
115 | 130 | 2990 |
116 | 130 | 7540 |
117 | 130 | 1170 |
118 | 130 | 7670 |
119 | 130 | 15470 |
120 | 130 | 1560 |
121 | 130 | 15730 |
122 | 130 | 7930 |
123 | 130 | 15990 |
124 | 130 | 8060 |
125 | 130 | 3250 |
126 | 130 | 8190 |
127 | 130 | 16510 |
128 | 130 | 8320 |
129 | 130 | 16770 |
130 | 130 | 130 |
131 | 130 | 17030 |
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