LCM for 14 and 26

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 14 and 26?

Answer

LCM of 14 and 26 is 182

(One hundred eighty-two)

Finding LCM for 14 and 26 using GCF of these numbers

The first method to find LCM for numbers 14 and 26 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 14 and 26 is 2, so

LCM = (14 × 26) ÷ 2

LCM = 364 ÷ 2

LCM = 182

Finding LCM for 14 and 26 by Listing Multiples

The second method to find LCM for numbers 14 and 26 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

Multiples of 26: 26, 52, 78, 104, 130, 156, 182, 208, 234

So the LCM for 14 and 26 is 182

Finding LCM for 14 and 26 by Prime Factorization

Another method to find LCM for numbers 14 and 26 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 26: 2, 13 (exponent form: 21, 131)

21 × 71 × 131 = 182

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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 26? (The answer is: 182). Select the first number (e.g. '14') and the second number (e.g. '26'). 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
12626
22626
32678
42652
526130
62678
726182
826104
926234
1026130
1126286
1226156
132626
1426182
1526390
1626208
1726442
1826234
1926494
2026260
2126546
2226286
2326598
2426312
2526650
262626
2726702
2826364
2926754
3026390

FAQ

What's the Least Common Multiple (LCM) of 14 and 26?

LCM of 14 and 26 is 182

How to find the LCM of 14 and 26 using prime factorization?

To find the LCM of 14 and 26, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 182.

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 26: LCM = 182, GCF = 2.

See Also