LCM for 45 and 54
What's the Least Common Multiple (LCM) of 45 and 54?
(Two hundred seventy)
Finding LCM for 45 and 54 using GCF's of these numbers
The first method to find LCM for numbers 45 and 54 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 45 and 54 is 9, so
LCM = (45 × 54) ÷ 9
LCM = 2430 ÷ 9
LCM = 270
Finding LCM for 45 and 54 by Listing Multiples
The second method to find LCM for numbers 45 and 54 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 45: 45, 90, 135, 180, 225, 270, 315, 360
Multiples of 54: 54, 108, 162, 216, 270, 324, 378
So the LCM for 45 and 54 is 270
Finding LCM for 45 and 54 by Prime Factorization
Another method to find LCM for numbers 45 and 54 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 45: 3, 3, 5 (exponent form: 32, 51)
All Prime Factors of 54: 2, 3, 3, 3 (exponent form: 21, 33)
33 × 51 × 21 = 270
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/45--54">What is the LCM of 45 and 54? - 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