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LCM for 21 and 55

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 21 and 55?

Answer

LCM of 21 and 55 is 1,155

(One thousand, one hundred fifty-five)

Finding LCM for 21 and 55 using GCF of these numbers

The first method to find LCM for numbers 21 and 55 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 21 and 55 is 1, so

LCM = (21 × 55) ÷ 1

LCM = 1155 ÷ 1

LCM = 1155

Finding LCM for 21 and 55 by Listing Multiples

The second method to find LCM for numbers 21 and 55 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

Multiples of 55: 55, 110, 165, 220, 275, 330, 385, 440, 495, 550, 605, 660, 715, 770, 825, 880, 935, 990, 1045, 1100, 1155, 1210, 1265

So the LCM for 21 and 55 is 1155

Finding LCM for 21 and 55 by Prime Factorization

Another method to find LCM for numbers 21 and 55 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 55: 5, 11 (exponent form: 51, 111)

31 × 71 × 51 × 111 = 1155

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What is the LCM of 21 and 55?. Find the LCM of 21 and 55 - the smallest common multiple of two integers.
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LCM Table

Number 1 Number 2 LCM
6 55 330
7 55 385
8 55 440
9 55 495
10 55 110
11 55 55
12 55 660
13 55 715
14 55 770
15 55 165
16 55 880
17 55 935
18 55 990
19 55 1045
20 55 220
21 55 1155
22 55 110
23 55 1265
24 55 1320
25 55 275
26 55 1430
27 55 1485
28 55 1540
29 55 1595
30 55 330
31 55 1705
32 55 1760
33 55 165
34 55 1870
35 55 385

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 55? (The answer is: 1155). Select the first number (e.g. '21') and the second number (e.g. '55'). 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

FAQ

What's the Least Common Multiple (LCM) of 21 and 55?
LCM of 21 and 55 is 1,155

How to find the LCM of 21 and 55 using prime factorization?
To find the LCM of 21 and 55, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,155.

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 55: LCM = 1,155, GCF = 1.

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