LCM for 70 and 112
What's the Least Common Multiple (LCM) of 70 and 112?
(Five hundred sixty)
Finding LCM for 70 and 112 using GCF's of these numbers
The first method to find LCM for numbers 70 and 112 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 70 and 112 is 14, so
LCM = (70 × 112) ÷ 14
LCM = 7840 ÷ 14
LCM = 560
Finding LCM for 70 and 112 by Listing Multiples
The second method to find LCM for numbers 70 and 112 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 70: 70, 140, 210, 280, 350, 420, 490, 560, 630, 700
Multiples of 112: 112, 224, 336, 448, 560, 672, 784
So the LCM for 70 and 112 is 560
Finding LCM for 70 and 112 by Prime Factorization
Another method to find LCM for numbers 70 and 112 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 70: 2, 5, 7 (exponent form: 21, 51, 71)
All Prime Factors of 112: 2, 2, 2, 2, 7 (exponent form: 24, 71)
24 × 51 × 71 = 560
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
55 | 112 | 6160 |
56 | 112 | 112 |
57 | 112 | 6384 |
58 | 112 | 3248 |
59 | 112 | 6608 |
60 | 112 | 1680 |
61 | 112 | 6832 |
62 | 112 | 3472 |
63 | 112 | 1008 |
64 | 112 | 448 |
65 | 112 | 7280 |
66 | 112 | 3696 |
67 | 112 | 7504 |
68 | 112 | 1904 |
69 | 112 | 7728 |
70 | 112 | 560 |
71 | 112 | 7952 |
72 | 112 | 1008 |
73 | 112 | 8176 |
74 | 112 | 4144 |
75 | 112 | 8400 |
76 | 112 | 2128 |
77 | 112 | 1232 |
78 | 112 | 4368 |
79 | 112 | 8848 |
80 | 112 | 560 |
81 | 112 | 9072 |
82 | 112 | 4592 |
83 | 112 | 9296 |
84 | 112 | 336 |
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