LCM for 14 and 22

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 14 and 22?

Answer

LCM of 14 and 22 is 154

(One hundred fifty-four)

Finding LCM for 14 and 22 using GCF of these numbers

The first method to find LCM for numbers 14 and 22 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 14 and 22 is 2, so

LCM = (14 × 22) ÷ 2

LCM = 308 ÷ 2

LCM = 154

Finding LCM for 14 and 22 by Listing Multiples

The second method to find LCM for numbers 14 and 22 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

Multiples of 22: 22, 44, 66, 88, 110, 132, 154, 176, 198

So the LCM for 14 and 22 is 154

Finding LCM for 14 and 22 by Prime Factorization

Another method to find LCM for numbers 14 and 22 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 22: 2, 11 (exponent form: 21, 111)

21 × 71 × 111 = 154

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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 22? (The answer is: 154). Select the first number (e.g. '14') and the second number (e.g. '22'). 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
12222
22222
32266
42244
522110
62266
722154
82288
922198
1022110
112222
1222132
1322286
1422154
1522330
1622176
1722374
1822198
1922418
2022220
2122462
222222
2322506
2422264
2522550
2622286
2722594
2822308
2922638
3022330

FAQ

What's the Least Common Multiple (LCM) of 14 and 22?

LCM of 14 and 22 is 154

How to find the LCM of 14 and 22 using prime factorization?

To find the LCM of 14 and 22, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 154.

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 22: LCM = 154, GCF = 2.

See Also