LCM for 52 and 69
What's the Least Common Multiple (LCM) of 52 and 69?
(Three thousand, five hundred eighty-eight)
Finding LCM for 52 and 69 using GCF's of these numbers
The first method to find LCM for numbers 52 and 69 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 52 and 69 is 1, so
LCM = (52 × 69) ÷ 1
LCM = 3588 ÷ 1
LCM = 3588
Finding LCM for 52 and 69 by Listing Multiples
The second method to find LCM for numbers 52 and 69 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 52: 52, 104, 156, 208, 260, 312, 364, 416, 468, 520, 572, 624, 676, 728, 780, 832, 884, 936, 988, 1040, 1092, 1144, 1196, 1248, 1300, 1352, 1404, 1456, 1508, 1560, 1612, 1664, 1716, 1768, 1820, 1872, 1924, 1976, 2028, 2080, 2132, 2184, 2236, 2288, 2340, 2392, 2444, 2496, 2548, 2600, 2652, 2704, 2756, 2808, 2860, 2912, 2964, 3016, 3068, 3120, 3172, 3224, 3276, 3328, 3380, 3432, 3484, 3536, 3588, 3640, 3692
Multiples of 69: 69, 138, 207, 276, 345, 414, 483, 552, 621, 690, 759, 828, 897, 966, 1035, 1104, 1173, 1242, 1311, 1380, 1449, 1518, 1587, 1656, 1725, 1794, 1863, 1932, 2001, 2070, 2139, 2208, 2277, 2346, 2415, 2484, 2553, 2622, 2691, 2760, 2829, 2898, 2967, 3036, 3105, 3174, 3243, 3312, 3381, 3450, 3519, 3588, 3657, 3726
So the LCM for 52 and 69 is 3588
Finding LCM for 52 and 69 by Prime Factorization
Another method to find LCM for numbers 52 and 69 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 52: 2, 2, 13 (exponent form: 22, 131)
All Prime Factors of 69: 3, 23 (exponent form: 31, 231)
22 × 131 × 31 × 231 = 3588
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/52--69">What is the LCM of 52 and 69? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 37 | 69 | 2553 |
| 38 | 69 | 2622 |
| 39 | 69 | 897 |
| 40 | 69 | 2760 |
| 41 | 69 | 2829 |
| 42 | 69 | 966 |
| 43 | 69 | 2967 |
| 44 | 69 | 3036 |
| 45 | 69 | 1035 |
| 46 | 69 | 138 |
| 47 | 69 | 3243 |
| 48 | 69 | 1104 |
| 49 | 69 | 3381 |
| 50 | 69 | 3450 |
| 51 | 69 | 1173 |
| 52 | 69 | 3588 |
| 53 | 69 | 3657 |
| 54 | 69 | 1242 |
| 55 | 69 | 3795 |
| 56 | 69 | 3864 |
| 57 | 69 | 1311 |
| 58 | 69 | 4002 |
| 59 | 69 | 4071 |
| 60 | 69 | 1380 |
| 61 | 69 | 4209 |
| 62 | 69 | 4278 |
| 63 | 69 | 1449 |
| 64 | 69 | 4416 |
| 65 | 69 | 4485 |
| 66 | 69 | 1518 |
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