LCM for 66 and 76
What's the Least Common Multiple (LCM) of 66 and 76?
(Two thousand, five hundred eight)
Finding LCM for 66 and 76 using GCF's of these numbers
The first method to find LCM for numbers 66 and 76 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 66 and 76 is 2, so
LCM = (66 × 76) ÷ 2
LCM = 5016 ÷ 2
LCM = 2508
Finding LCM for 66 and 76 by Listing Multiples
The second method to find LCM for numbers 66 and 76 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 66: 66, 132, 198, 264, 330, 396, 462, 528, 594, 660, 726, 792, 858, 924, 990, 1056, 1122, 1188, 1254, 1320, 1386, 1452, 1518, 1584, 1650, 1716, 1782, 1848, 1914, 1980, 2046, 2112, 2178, 2244, 2310, 2376, 2442, 2508, 2574, 2640
Multiples of 76: 76, 152, 228, 304, 380, 456, 532, 608, 684, 760, 836, 912, 988, 1064, 1140, 1216, 1292, 1368, 1444, 1520, 1596, 1672, 1748, 1824, 1900, 1976, 2052, 2128, 2204, 2280, 2356, 2432, 2508, 2584, 2660
So the LCM for 66 and 76 is 2508
Finding LCM for 66 and 76 by Prime Factorization
Another method to find LCM for numbers 66 and 76 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 66: 2, 3, 11 (exponent form: 21, 31, 111)
All Prime Factors of 76: 2, 2, 19 (exponent form: 22, 191)
22 × 31 × 111 × 191 = 2508
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/66--76">What is the LCM of 66 and 76? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 51 | 76 | 3876 |
| 52 | 76 | 988 |
| 53 | 76 | 4028 |
| 54 | 76 | 2052 |
| 55 | 76 | 4180 |
| 56 | 76 | 1064 |
| 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 |
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