LCM for 63 and 77
What's the Least Common Multiple (LCM) of 63 and 77?
Answer
(Six hundred ninety-three)
Finding LCM for 63 and 77 using GCF of these numbers
The first method to find LCM for numbers 63 and 77 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 63 and 77 is 7, so
LCM = (63 × 77) ÷ 7
LCM = 4,851 ÷ 7
LCM = 693
Finding LCM for 63 and 77 by Listing Multiples
The second method to find LCM for numbers 63 and 77 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 63: 63, 126, 189, 252, 315, 378, 441, 504, 567, 630, 693, 756, 819
Multiples of 77: 77, 154, 231, 308, 385, 462, 539, 616, 693, 770, 847
So the LCM for 63 and 77 is 693
Finding LCM for 63 and 77 by Prime Factorization
Another method to find LCM for numbers 63 and 77 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 63: 3, 3, 7 (exponent form: 32, 71)
All Prime Factors of 77: 7, 11 (exponent form: 71, 111)
32 × 71 × 111 = 693
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 63 and 77?
How to find the LCM of 63 and 77 using prime factorization?
What is the difference between LCM and GCF?
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