LCM for 4 and 17
What's the Least Common Multiple (LCM) of 4 and 17?
(Sixty-eight)
Finding LCM for 4 and 17 using GCF's of these numbers
The first method to find LCM for numbers 4 and 17 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 4 and 17 is 1, so
LCM = (4 × 17) ÷ 1
LCM = 68 ÷ 1
LCM = 68
Finding LCM for 4 and 17 by Listing Multiples
The second method to find LCM for numbers 4 and 17 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76
Multiples of 17: 17, 34, 51, 68, 85, 102
So the LCM for 4 and 17 is 68
Finding LCM for 4 and 17 by Prime Factorization
Another method to find LCM for numbers 4 and 17 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 4: 2, 2 (exponent form: 22)
All Prime Factors of 17: 17 (exponent form: 171)
22 × 171 = 68
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
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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