LCM for 9 and 32
What's the Least Common Multiple (LCM) of 9 and 32?
Answer
(Two hundred eighty-eight)
Finding LCM for 9 and 32 using GCF of these numbers
The first method to find LCM for numbers 9 and 32 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 9 and 32 is 1, so
LCM = (9 × 32) ÷ 1
LCM = 288 ÷ 1
LCM = 288
Finding LCM for 9 and 32 by Listing Multiples
The second method to find LCM for numbers 9 and 32 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180, 189, 198, 207, 216, 225, 234, 243, 252, 261, 270, 279, 288, 297, 306
Multiples of 32: 32, 64, 96, 128, 160, 192, 224, 256, 288, 320, 352
So the LCM for 9 and 32 is 288
Finding LCM for 9 and 32 by Prime Factorization
Another method to find LCM for numbers 9 and 32 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 9: 3, 3 (exponent form: 32)
All Prime Factors of 32: 2, 2, 2, 2, 2 (exponent form: 25)
32 × 25 = 288
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
- Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers
- Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
- Multiples of a Number - List the first 10 multiples of any number from 1 to 999
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LCM Table
About "Least Common Multiple" Calculator
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