LCM for 54 and 360
What's the Least Common Multiple (LCM) of 54 and 360?
(One thousand, eighty)
Finding LCM for 54 and 360 using GCF's of these numbers
The first method to find LCM for numbers 54 and 360 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 54 and 360 is 18, so
LCM = (54 × 360) ÷ 18
LCM = 19440 ÷ 18
LCM = 1080
Finding LCM for 54 and 360 by Listing Multiples
The second method to find LCM for numbers 54 and 360 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 54: 54, 108, 162, 216, 270, 324, 378, 432, 486, 540, 594, 648, 702, 756, 810, 864, 918, 972, 1026, 1080, 1134, 1188
Multiples of 360: 360, 720, 1080, 1440, 1800
So the LCM for 54 and 360 is 1080
Finding LCM for 54 and 360 by Prime Factorization
Another method to find LCM for numbers 54 and 360 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 54: 2, 3, 3, 3 (exponent form: 21, 33)
All Prime Factors of 360: 2, 2, 2, 3, 3, 5 (exponent form: 23, 32, 51)
23 × 33 × 51 = 1080
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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