LCM for 50 and 88
What's the Least Common Multiple (LCM) of 50 and 88?
Answer
(Two thousand two hundred)
Finding LCM for 50 and 88 using GCF of these numbers
The first method to find LCM for numbers 50 and 88 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 50 and 88 is 2, so
LCM = (50 × 88) ÷ 2
LCM = 4,400 ÷ 2
LCM = 2,200
Finding LCM for 50 and 88 by Listing Multiples
The second method to find LCM for numbers 50 and 88 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 50: 50, 100, 150, 200, 250, 300, 350, 400, 450, 500, 550, 600, 650, 700, 750, 800, 850, 900, 950, 1,000, 1,050, 1,100, 1,150, 1,200, 1,250, 1,300, 1,350, 1,400, 1,450, 1,500, 1,550, 1,600, 1,650, 1,700, 1,750, 1,800, 1,850, 1,900, 1,950, 2,000, 2,050, 2,100, 2,150, 2,200, 2,250, 2,300
Multiples of 88: 88, 176, 264, 352, 440, 528, 616, 704, 792, 880, 968, 1,056, 1,144, 1,232, 1,320, 1,408, 1,496, 1,584, 1,672, 1,760, 1,848, 1,936, 2,024, 2,112, 2,200, 2,288, 2,376
So the LCM for 50 and 88 is 2,200
Finding LCM for 50 and 88 by Prime Factorization
Another method to find LCM for numbers 50 and 88 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 50: 2, 5, 5 (exponent form: 21, 52)
All Prime Factors of 88: 2, 2, 2, 11 (exponent form: 23, 111)
23 × 52 × 111 = 2,200
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
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
LCM Table
FAQ
What's the Least Common Multiple (LCM) of 50 and 88?
How to find the LCM of 50 and 88 using prime factorization?
What is the difference between LCM and GCF?
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