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LCM for 10 and 22

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 10 and 22?

Answer

LCM of 10 and 22 is 110

(One hundred ten)

Finding LCM for 10 and 22 using GCF of these numbers

The first method to find LCM for numbers 10 and 22 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 10 and 22 is 2, so

LCM = (10 × 22) ÷ 2

LCM = 220 ÷ 2

LCM = 110

Finding LCM for 10 and 22 by Listing Multiples

The second method to find LCM for numbers 10 and 22 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130

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

So the LCM for 10 and 22 is 110

Finding LCM for 10 and 22 by Prime Factorization

Another method to find LCM for numbers 10 and 22 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 10: 2, 5 (exponent form: 21, 51)

All Prime Factors of 22: 2, 11 (exponent form: 21, 111)

21 × 51 × 111 = 110

Related Calculations

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What is the LCM of 10 and 22?. The LCM of 10 and 22 is 110 — the smallest common multiple of both integers.
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LCM Table

Number 1Number 2LCM
10510
10840
1011110
101260
1013130
101470
101530
101680
101890
1019190
102020
1021210
1022110
1023230
1024120
102550
1027270
103030
1031310
1034170
103570
1036180
1038190
104040
1041410
1043430
1044220
104590
1046230
1048240

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 10 and 22? (The answer is: 110). Select the first number (e.g. '10') 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

FAQ

What's the Least Common Multiple (LCM) of 10 and 22?

LCM of 10 and 22 is 110

How to find the LCM of 10 and 22 using prime factorization?

To find the LCM of 10 and 22, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 110.

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 10 and 22: LCM = 110, GCF = 2.

See Also