LCM for 2 and 34
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 2 and 34?
Answer
(Thirty-four)
Finding LCM for 2 and 34 using GCF of these numbers
The first method to find LCM for numbers 2 and 34 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 2 and 34 is 2, so
LCM = (2 × 34) ÷ 2
LCM = 68 ÷ 2
LCM = 34
Finding LCM for 2 and 34 by Listing Multiples
The second method to find LCM for numbers 2 and 34 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38
Multiples of 34: 34, 68, 102
So the LCM for 2 and 34 is 34
Finding LCM for 2 and 34 by Prime Factorization
Another method to find LCM for numbers 2 and 34 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 2: 2 (exponent form: 21)
All Prime Factors of 34: 2, 17 (exponent form: 21, 171)
21 × 171 = 34
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 2 and 34?
How to find the LCM of 2 and 34 using prime factorization?
What is the difference between LCM and GCF?
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