LCM for 72 and 76
What's the Least Common Multiple (LCM) of 72 and 76?
(One thousand, three hundred sixty-eight)
Finding LCM for 72 and 76 using GCF's of these numbers
The first method to find LCM for numbers 72 and 76 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 72 and 76 is 4, so
LCM = (72 × 76) ÷ 4
LCM = 5472 ÷ 4
LCM = 1368
Finding LCM for 72 and 76 by Listing Multiples
The second method to find LCM for numbers 72 and 76 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 72: 72, 144, 216, 288, 360, 432, 504, 576, 648, 720, 792, 864, 936, 1008, 1080, 1152, 1224, 1296, 1368, 1440, 1512
Multiples of 76: 76, 152, 228, 304, 380, 456, 532, 608, 684, 760, 836, 912, 988, 1064, 1140, 1216, 1292, 1368, 1444, 1520
So the LCM for 72 and 76 is 1368
Finding LCM for 72 and 76 by Prime Factorization
Another method to find LCM for numbers 72 and 76 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 72: 2, 2, 2, 3, 3 (exponent form: 23, 32)
All Prime Factors of 76: 2, 2, 19 (exponent form: 22, 191)
23 × 32 × 191 = 1368
Related Calculations
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
57 | 76 | 228 |
58 | 76 | 2204 |
59 | 76 | 4484 |
60 | 76 | 1140 |
61 | 76 | 4636 |
62 | 76 | 2356 |
63 | 76 | 4788 |
64 | 76 | 1216 |
65 | 76 | 4940 |
66 | 76 | 2508 |
67 | 76 | 5092 |
68 | 76 | 1292 |
69 | 76 | 5244 |
70 | 76 | 2660 |
71 | 76 | 5396 |
72 | 76 | 1368 |
73 | 76 | 5548 |
74 | 76 | 2812 |
75 | 76 | 5700 |
76 | 76 | 76 |
77 | 76 | 5852 |
78 | 76 | 2964 |
79 | 76 | 6004 |
80 | 76 | 1520 |
81 | 76 | 6156 |
82 | 76 | 3116 |
83 | 76 | 6308 |
84 | 76 | 1596 |
85 | 76 | 6460 |
86 | 76 | 3268 |
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