LCM for 21 and 59
What's the Least Common Multiple (LCM) of 21 and 59?
Answer
(One thousand, two hundred thirty-nine)
Finding LCM for 21 and 59 using GCF of these numbers
The first method to find LCM for numbers 21 and 59 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 21 and 59 is 1, so
LCM = (21 × 59) ÷ 1
LCM = 1239 ÷ 1
LCM = 1239
Finding LCM for 21 and 59 by Listing Multiples
The second method to find LCM for numbers 21 and 59 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 21: 21, 42, 63, 84, 105, 126, 147, 168, 189, 210, 231, 252, 273, 294, 315, 336, 357, 378, 399, 420, 441, 462, 483, 504, 525, 546, 567, 588, 609, 630, 651, 672, 693, 714, 735, 756, 777, 798, 819, 840, 861, 882, 903, 924, 945, 966, 987, 1008, 1029, 1050, 1071, 1092, 1113, 1134, 1155, 1176, 1197, 1218, 1239, 1260, 1281
Multiples of 59: 59, 118, 177, 236, 295, 354, 413, 472, 531, 590, 649, 708, 767, 826, 885, 944, 1003, 1062, 1121, 1180, 1239, 1298, 1357
So the LCM for 21 and 59 is 1239
Finding LCM for 21 and 59 by Prime Factorization
Another method to find LCM for numbers 21 and 59 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 21: 3, 7 (exponent form: 31, 71)
All Prime Factors of 59: 59 (exponent form: 591)
31 × 71 × 591 = 1239
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/21--59">What is the LCM of 21 and 59? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 6 | 59 | 354 |
| 7 | 59 | 413 |
| 8 | 59 | 472 |
| 9 | 59 | 531 |
| 10 | 59 | 590 |
| 11 | 59 | 649 |
| 12 | 59 | 708 |
| 13 | 59 | 767 |
| 14 | 59 | 826 |
| 15 | 59 | 885 |
| 16 | 59 | 944 |
| 17 | 59 | 1003 |
| 18 | 59 | 1062 |
| 19 | 59 | 1121 |
| 20 | 59 | 1180 |
| 21 | 59 | 1239 |
| 22 | 59 | 1298 |
| 23 | 59 | 1357 |
| 24 | 59 | 1416 |
| 25 | 59 | 1475 |
| 26 | 59 | 1534 |
| 27 | 59 | 1593 |
| 28 | 59 | 1652 |
| 29 | 59 | 1711 |
| 30 | 59 | 1770 |
| 31 | 59 | 1829 |
| 32 | 59 | 1888 |
| 33 | 59 | 1947 |
| 34 | 59 | 2006 |
| 35 | 59 | 2065 |
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