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LCM for 8 and 21

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 8 and 21?

Answer

LCM of 8 and 21 is 168

(One hundred sixty-eight)

Finding LCM for 8 and 21 using GCF of these numbers

The first method to find LCM for numbers 8 and 21 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 8 and 21 is 1, so

LCM = (8 × 21) ÷ 1

LCM = 168 ÷ 1

LCM = 168

Finding LCM for 8 and 21 by Listing Multiples

The second method to find LCM for numbers 8 and 21 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136, 144, 152, 160, 168, 176, 184

Multiples of 21: 21, 42, 63, 84, 105, 126, 147, 168, 189, 210

So the LCM for 8 and 21 is 168

Finding LCM for 8 and 21 by Prime Factorization

Another method to find LCM for numbers 8 and 21 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 8: 2, 2, 2 (exponent form: 23)

All Prime Factors of 21: 3, 7 (exponent form: 31, 71)

23 × 31 × 71 = 168

Related Calculations

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What is the LCM of 8 and 21?. The LCM of 8 and 21 is 168 — the smallest common multiple of both integers.
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LCM Table

Number 1Number 2LCM
8324
848
8540
8624
8972
81040
81188
81224
813104
81456
815120
81616
817136
81872
82040
821168
82288
82424
825200
826104
827216
82856
830120
83232
833264
835280
83672
84040
841328
843344

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 8 and 21? (The answer is: 168). Select the first number (e.g. '8') and the second number (e.g. '21'). 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 8 and 21?

LCM of 8 and 21 is 168

How to find the LCM of 8 and 21 using prime factorization?

To find the LCM of 8 and 21, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 168.

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 8 and 21: LCM = 168, GCF = 1.

See Also