LCM for 21 and 58

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 21 and 58?

Answer

LCM of 21 and 58 is 1,218

(One thousand, two hundred eighteen)

Finding LCM for 21 and 58 using GCF of these numbers

The first method to find LCM for numbers 21 and 58 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 21 and 58 is 1, so

LCM = (21 × 58) ÷ 1

LCM = 1218 ÷ 1

LCM = 1218

Finding LCM for 21 and 58 by Listing Multiples

The second method to find LCM for numbers 21 and 58 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

Multiples of 58: 58, 116, 174, 232, 290, 348, 406, 464, 522, 580, 638, 696, 754, 812, 870, 928, 986, 1044, 1102, 1160, 1218, 1276, 1334

So the LCM for 21 and 58 is 1218

Finding LCM for 21 and 58 by Prime Factorization

Another method to find LCM for numbers 21 and 58 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 58: 2, 29 (exponent form: 21, 291)

31 × 71 × 21 × 291 = 1218

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About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 21 and 58? (The answer is: 1218). Select the first number (e.g. '21') and the second number (e.g. '58'). After that hit the 'Calculate' button.
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

"Least Common Multiple" Calculator

Least Common Multiple of

and

LCM Table

Number 1Number 2LCM
658174
758406
858232
958522
1058290
1158638
1258348
1358754
1458406
1558870
1658464
1758986
1858522
19581102
2058580
21581218
2258638
23581334
2458696
25581450
2658754
27581566
2858812
295858
3058870
31581798
3258928
33581914
3458986
35582030

FAQ

What's the Least Common Multiple (LCM) of 21 and 58?

LCM of 21 and 58 is 1,218

How to find the LCM of 21 and 58 using prime factorization?

To find the LCM of 21 and 58, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,218.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 21 and 58: LCM = 1,218, GCF = 1.

See Also