LCM for 168 and 252

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What's the Least Common Multiple (LCM) of 168 and 252?

Answer

LCM of 168 and 252 is
504

(Five hundred four)

Finding LCM for 168 and 252 using GCF of these numbers

The first method to find LCM for numbers 168 and 252 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 168 and 252 is 84, so

LCM = (168 × 252) ÷ 84

LCM = 42,336 ÷ 84

LCM = 504

Finding LCM for 168 and 252 by Listing Multiples

The second method to find LCM for numbers 168 and 252 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 168: 168, 336, 504, 672, 840

Multiples of 252: 252, 504, 756, 1,008

So the LCM for 168 and 252 is 504

Finding LCM for 168 and 252 by Prime Factorization

Another method to find LCM for numbers 168 and 252 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 168: 2, 2, 2, 3, 7 (exponent form: 23, 31, 71)

All Prime Factors of 252: 2, 2, 3, 3, 7 (exponent form: 22, 32, 71)

23 × 32 × 71 = 504

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About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 168 and 252? (The answer is: 504). Select the first number (e.g. '168') and the second number (e.g. '252'). After that hit the 'Calculate' button.
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
"Least Common Multiple" Calculator
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LCM Table

Number 1Number 2LCM
16823713,272
1682382,856
16823940,152
1682401,680
16824140,488
16824220,328
16824313,608
16824410,248
1682455,880
1682466,888
16824741,496
1682485,208
16824913,944
16825021,000
16825142,168
168252504
16825342,504
16825421,336
16825514,280
1682565,376
16825743,176
1682587,224
1682596,216
16826010,920
16826114,616
16826222,008
16826344,184
1682641,848
16826544,520
1682663,192

FAQ

What's the Least Common Multiple (LCM) of 168 and 252?

LCM of 168 and 252 is 504

How to find the LCM of 168 and 252 using prime factorization?

To find the LCM of 168 and 252, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 504.

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 168 and 252: LCM = 504, GCF = 84.

See Also