LCM for 80 and 216
What's the Least Common Multiple (LCM) of 80 and 216?
(Two thousand, one hundred sixty)
Finding LCM for 80 and 216 using GCF's of these numbers
The first method to find LCM for numbers 80 and 216 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 80 and 216 is 8, so
LCM = (80 × 216) ÷ 8
LCM = 17280 ÷ 8
LCM = 2160
Finding LCM for 80 and 216 by Listing Multiples
The second method to find LCM for numbers 80 and 216 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 80: 80, 160, 240, 320, 400, 480, 560, 640, 720, 800, 880, 960, 1040, 1120, 1200, 1280, 1360, 1440, 1520, 1600, 1680, 1760, 1840, 1920, 2000, 2080, 2160, 2240, 2320
Multiples of 216: 216, 432, 648, 864, 1080, 1296, 1512, 1728, 1944, 2160, 2376, 2592
So the LCM for 80 and 216 is 2160
Finding LCM for 80 and 216 by Prime Factorization
Another method to find LCM for numbers 80 and 216 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 80: 2, 2, 2, 2, 5 (exponent form: 24, 51)
All Prime Factors of 216: 2, 2, 2, 3, 3, 3 (exponent form: 23, 33)
24 × 51 × 33 = 2160
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/80--216">What is the LCM of 80 and 216? - 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