LCM for 14 and 58

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 14 and 58?

Answer

LCM of 14 and 58 is 406

(Four hundred six)

Finding LCM for 14 and 58 using GCF of these numbers

The first method to find LCM for numbers 14 and 58 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 14 and 58 is 2, so

LCM = (14 × 58) ÷ 2

LCM = 812 ÷ 2

LCM = 406

Finding LCM for 14 and 58 by Listing Multiples

The second method to find LCM for numbers 14 and 58 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 14: 14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168, 182, 196, 210, 224, 238, 252, 266, 280, 294, 308, 322, 336, 350, 364, 378, 392, 406, 420, 434

Multiples of 58: 58, 116, 174, 232, 290, 348, 406, 464, 522

So the LCM for 14 and 58 is 406

Finding LCM for 14 and 58 by Prime Factorization

Another method to find LCM for numbers 14 and 58 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 14: 2, 7 (exponent form: 21, 71)

All Prime Factors of 58: 2, 29 (exponent form: 21, 291)

21 × 71 × 291 = 406

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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 14 and 58? (The answer is: 406). Select the first number (e.g. '14') 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
149126
1415210
1416112
1417238
1418126
1419266
1420140
142142
1422154
1423322
1424168
1425350
1426182
1427378
142828
1430210
1432224
143570
1439546
1441574
144242
1444308
1445630
144998
1455770
1457798
1458406
1460420
14217434

FAQ

What's the Least Common Multiple (LCM) of 14 and 58?

LCM of 14 and 58 is 406

How to find the LCM of 14 and 58 using prime factorization?

To find the LCM of 14 and 58, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 406.

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 14 and 58: LCM = 406, GCF = 2.

See Also