LCM for 15 and 31
What's the Least Common Multiple (LCM) of 15 and 31?
Answer
(Four hundred sixty-five)
Finding LCM for 15 and 31 using GCF of these numbers
The first method to find LCM for numbers 15 and 31 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 15 and 31 is 1, so
LCM = (15 × 31) ÷ 1
LCM = 465 ÷ 1
LCM = 465
Finding LCM for 15 and 31 by Listing Multiples
The second method to find LCM for numbers 15 and 31 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, 210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375, 390, 405, 420, 435, 450, 465, 480, 495
Multiples of 31: 31, 62, 93, 124, 155, 186, 217, 248, 279, 310, 341, 372, 403, 434, 465, 496, 527
So the LCM for 15 and 31 is 465
Finding LCM for 15 and 31 by Prime Factorization
Another method to find LCM for numbers 15 and 31 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 31: 31 (exponent form: 311)
31 × 51 × 311 = 465
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--31">What is the LCM of 15 and 31? - 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