LCM for 3 and 33
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 3 and 33?
Answer
(Thirty-three)
Finding LCM for 3 and 33 using GCF of these numbers
The first method to find LCM for numbers 3 and 33 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 3 and 33 is 3, so
LCM = (3 × 33) ÷ 3
LCM = 99 ÷ 3
LCM = 33
Finding LCM for 3 and 33 by Listing Multiples
The second method to find LCM for numbers 3 and 33 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39
Multiples of 33: 33, 66, 99
So the LCM for 3 and 33 is 33
Finding LCM for 3 and 33 by Prime Factorization
Another method to find LCM for numbers 3 and 33 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 3: 3 (exponent form: 31)
All Prime Factors of 33: 3, 11 (exponent form: 31, 111)
31 × 111 = 33
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
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
"Least Common Multiple" Calculator
LCM Table
FAQ
What's the Least Common Multiple (LCM) of 3 and 33?
How to find the LCM of 3 and 33 using prime factorization?
What is the difference between LCM and GCF?
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