LCM for 25 and 55
What's the Least Common Multiple (LCM) of 25 and 55?
Answer
(Two hundred seventy-five)
Finding LCM for 25 and 55 using GCF of these numbers
The first method to find LCM for numbers 25 and 55 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 25 and 55 is 5, so
LCM = (25 × 55) ÷ 5
LCM = 1375 ÷ 5
LCM = 275
Finding LCM for 25 and 55 by Listing Multiples
The second method to find LCM for numbers 25 and 55 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 25: 25, 50, 75, 100, 125, 150, 175, 200, 225, 250, 275, 300, 325
Multiples of 55: 55, 110, 165, 220, 275, 330, 385
So the LCM for 25 and 55 is 275
Finding LCM for 25 and 55 by Prime Factorization
Another method to find LCM for numbers 25 and 55 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 25: 5, 5 (exponent form: 52)
All Prime Factors of 55: 5, 11 (exponent form: 51, 111)
52 × 111 = 275
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