LCM for 63 and 84
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 63 and 84?
Answer
LCM of 63 and 84 is
252
First common multiples: 252, 504, 756, …
252 is divisible by both: 252 ÷ 63 = 4, 252 ÷ 84 = 3 — and 4 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/63 by 4 and of y/84 by 3.
63 = 32 × 7
84 = 22 × 3 × 7
| Prime | 63 | 84 | Highest power |
|---|---|---|---|
| 2 | — | 22 | 22 |
| 3 | 32 | 3 | 32 |
| 7 | 7 | 7 | 7 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 22 × 32 × 7 = 252
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See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
- Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers
- Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
- Multiples of a Number - List the first 10 multiples of any number from 1 to 999
LCM Table
FAQ
What's the Least Common Multiple (LCM) of 63 and 84?
LCM of 63 and 84 is 252
How to find the LCM of 63 and 84 using prime factorization?
To find the LCM of 63 and 84, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 252.
What is the difference between LCM and GCF?
LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 63 and 84: LCM = 252, GCF = 21.
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