LCM for 15 and 33
What's the Least Common Multiple (LCM) of 15 and 33?
Answer
(One hundred sixty-five)
Finding LCM for 15 and 33 using GCF of these numbers
The first method to find LCM for numbers 15 and 33 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 15 and 33 is 3, so
LCM = (15 × 33) ÷ 3
LCM = 495 ÷ 3
LCM = 165
Finding LCM for 15 and 33 by Listing Multiples
The second method to find LCM for numbers 15 and 33 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 15: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195
Multiples of 33: 33, 66, 99, 132, 165, 198, 231
So the LCM for 15 and 33 is 165
Finding LCM for 15 and 33 by Prime Factorization
Another method to find LCM for numbers 15 and 33 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 15: 3, 5 (exponent form: 31, 51)
All Prime Factors of 33: 3, 11 (exponent form: 31, 111)
31 × 51 × 111 = 165
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/15--33">What is the LCM of 15 and 33? - 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