LCM for 23 and 32

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 23 and 32?

Answer

LCM of 23 and 32 is 736

(Seven hundred thirty-six)

Finding LCM for 23 and 32 using GCF of these numbers

The first method to find LCM for numbers 23 and 32 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 23 and 32 is 1, so

LCM = (23 × 32) ÷ 1

LCM = 736 ÷ 1

LCM = 736

Finding LCM for 23 and 32 by Listing Multiples

The second method to find LCM for numbers 23 and 32 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 23: 23, 46, 69, 92, 115, 138, 161, 184, 207, 230, 253, 276, 299, 322, 345, 368, 391, 414, 437, 460, 483, 506, 529, 552, 575, 598, 621, 644, 667, 690, 713, 736, 759, 782

Multiples of 32: 32, 64, 96, 128, 160, 192, 224, 256, 288, 320, 352, 384, 416, 448, 480, 512, 544, 576, 608, 640, 672, 704, 736, 768, 800

So the LCM for 23 and 32 is 736

Finding LCM for 23 and 32 by Prime Factorization

Another method to find LCM for numbers 23 and 32 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 23: 23 (exponent form: 231)

All Prime Factors of 32: 2, 2, 2, 2, 2 (exponent form: 25)

231 × 25 = 736

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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 23 and 32? (The answer is: 736). Select the first number (e.g. '23') and the second number (e.g. '32'). 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
83232
932288
1032160
1132352
123296
1332416
1432224
1532480
163232
1732544
1832288
1932608
2032160
2132672
2232352
2332736
243296
2532800
2632416
2732864
2832224
2932928
3032480
3132992
323232
33321056
3432544
35321120
3632288
37321184

FAQ

What's the Least Common Multiple (LCM) of 23 and 32?

LCM of 23 and 32 is 736

How to find the LCM of 23 and 32 using prime factorization?

To find the LCM of 23 and 32, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 736.

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 23 and 32: LCM = 736, GCF = 1.

See Also