LCM for 14 and 32
What's the Least Common Multiple (LCM) of 14 and 32?
(Two hundred twenty-four)
Finding LCM for 14 and 32 using GCF's of these numbers
The first method to find LCM for numbers 14 and 32 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 14 and 32 is 2, so
LCM = (14 × 32) ÷ 2
LCM = 448 ÷ 2
LCM = 224
Finding LCM for 14 and 32 by Listing Multiples
The second method to find LCM for numbers 14 and 32 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 14: 14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168, 182, 196, 210, 224, 238, 252
Multiples of 32: 32, 64, 96, 128, 160, 192, 224, 256, 288
So the LCM for 14 and 32 is 224
Finding LCM for 14 and 32 by Prime Factorization
Another method to find LCM for numbers 14 and 32 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 14: 2, 7 (exponent form: 21, 71)
All Prime Factors of 32: 2, 2, 2, 2, 2 (exponent form: 25)
25 × 71 = 224
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/14--32">What is the LCM of 14 and 32? - 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