LCM for 6 and 81
What's the Least Common Multiple (LCM) of 6 and 81?
Answer
(One hundred sixty-two)
Finding LCM for 6 and 81 using GCF of these numbers
The first method to find LCM for numbers 6 and 81 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 6 and 81 is 3, so
LCM = (6 × 81) ÷ 3
LCM = 486 ÷ 3
LCM = 162
Finding LCM for 6 and 81 by Listing Multiples
The second method to find LCM for numbers 6 and 81 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, 114, 120, 126, 132, 138, 144, 150, 156, 162, 168, 174
Multiples of 81: 81, 162, 243, 324
So the LCM for 6 and 81 is 162
Finding LCM for 6 and 81 by Prime Factorization
Another method to find LCM for numbers 6 and 81 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 6: 2, 3 (exponent form: 21, 31)
All Prime Factors of 81: 3, 3, 3, 3 (exponent form: 34)
21 × 34 = 162
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
LCM Table
FAQ
What's the Least Common Multiple (LCM) of 6 and 81?
How to find the LCM of 6 and 81 using prime factorization?
What is the difference between LCM and GCF?
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