LCM for 10 and 110
What's the Least Common Multiple (LCM) of 10 and 110?
Answer
(One hundred ten)
Finding LCM for 10 and 110 using GCF of these numbers
The first method to find LCM for numbers 10 and 110 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 10 and 110 is 10, so
LCM = (10 × 110) ÷ 10
LCM = 1,100 ÷ 10
LCM = 110
Finding LCM for 10 and 110 by Listing Multiples
The second method to find LCM for numbers 10 and 110 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130
Multiples of 110: 110, 220, 330
So the LCM for 10 and 110 is 110
Finding LCM for 10 and 110 by Prime Factorization
Another method to find LCM for numbers 10 and 110 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 10: 2, 5 (exponent form: 21, 51)
All Prime Factors of 110: 2, 5, 11 (exponent form: 21, 51, 111)
21 × 51 × 111 = 110
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
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 10 and 110?
How to find the LCM of 10 and 110 using prime factorization?
What is the difference between LCM and GCF?
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