LCM for 21 and 34

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Least Common Multiple of

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What's the Least Common Multiple (LCM) of 21 and 34?

Answer

LCM of 21 and 34 is 714

(Seven hundred fourteen)

Finding LCM for 21 and 34 using GCF of these numbers

The first method to find LCM for numbers 21 and 34 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 21 and 34 is 1, so

LCM = (21 × 34) ÷ 1

LCM = 714 ÷ 1

LCM = 714

Finding LCM for 21 and 34 by Listing Multiples

The second method to find LCM for numbers 21 and 34 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

Multiples of 34: 34, 68, 102, 136, 170, 204, 238, 272, 306, 340, 374, 408, 442, 476, 510, 544, 578, 612, 646, 680, 714, 748, 782

So the LCM for 21 and 34 is 714

Finding LCM for 21 and 34 by Prime Factorization

Another method to find LCM for numbers 21 and 34 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 34: 2, 17 (exponent form: 21, 171)

31 × 71 × 21 × 171 = 714

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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 34? (The answer is: 714). Select the first number (e.g. '21') and the second number (e.g. '34'). 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

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LCM Table

Number 1 Number 2 LCM
6 34 102
7 34 238
8 34 136
9 34 306
10 34 170
11 34 374
12 34 204
13 34 442
14 34 238
15 34 510
16 34 272
17 34 34
18 34 306
19 34 646
20 34 340
21 34 714
22 34 374
23 34 782
24 34 408
25 34 850
26 34 442
27 34 918
28 34 476
29 34 986
30 34 510
31 34 1054
32 34 544
33 34 1122
34 34 34
35 34 1190

FAQ

What's the Least Common Multiple (LCM) of 21 and 34?
LCM of 21 and 34 is 714

How to find the LCM of 21 and 34 using prime factorization?
To find the LCM of 21 and 34, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 714.

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 34: LCM = 714, GCF = 1.

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