LCM for 3 and 18
What's the Least Common Multiple (LCM) of 3 and 18?
(Eighteen)
Finding LCM for 3 and 18 using GCF's of these numbers
The first method to find LCM for numbers 3 and 18 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 3 and 18 is 3, so
LCM = (3 × 18) ÷ 3
LCM = 54 ÷ 3
LCM = 18
Finding LCM for 3 and 18 by Listing Multiples
The second method to find LCM for numbers 3 and 18 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24
Multiples of 18: 18, 36, 54, 72, 90, 108, 126, 144, [...], 18
So the LCM for 3 and 18 is 18
Finding LCM for 3 and 18 by Prime Factorization
Another method to find LCM for numbers 3 and 18 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 18: 2, 3, 3 (exponent form: 21, 32)
32 × 21 = 18
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/3--18">What is the LCM of 3 and 18? - Calculatio</a>
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